%%% My papers

@article{medina2023fast_sq,
	AUTHOR = {{Medina-Mardones}, Anibal M.},
	TITLE = {New formulas for cup-{$i$} products and fast computation of {S}teenrod squares},
	JOURNAL = {Comput. Geom.},
	FJOURNAL = {Computational Geometry. Theory and Applications},
	VOLUME = {109},
	YEAR = {2023},
	ISSN = {0925-7721},
	MRNUMBER = {4473678},
	DOI = {10.1016/j.comgeo.2022.101921},
	URL = {https://doi.org/10.1016/j.comgeo.2022.101921},
}

@article{medina2022cube_einfty,
	author = {{Kaufmann}, Ralph M. and {Medina-Mardones}, Anibal M.},
	title = "{A combinatorial ${E}_\infty$-algebra structure on cubical cochains and the Cartan--Serre map}",
	journal = {Cahiers Topologie G\'{e}om. Diff\'{e}rentielle Cat\'{e}g.},
	fjournal = {Cahiers de Topologie et G{\'e}om{\'e}trie Diff{\'e}rentielle Cat{\'e}goriques},
	volume = {63},
	number = {4},
	pages = {387--424},
	year = {2022},
	url = {http://cahierstgdc.com/wp-content/uploads/2022/10/KAUFMANN-MEDINA-LXIII-4.pdf},
}

@article{medina2022fuct_top,
	author = {{Bauer}, Ulrich and {Medina-Mardones}, Anibal M. and {Schmahl}, Maximilian},
	title = "{Persistent homology for functionals}",
	journal = {arXiv e-prints},
	year = {2022},
	archivePrefix = {arXiv},
	eprint = {2107.14247},
	doi = {10.48550/arXiv.2107.14247},
	note = {To appear in Commun. Contemp. Math.},
}

@ARTICLE{medina2022dennis,
	author = {{Medina-Mardones}, Anibal M.},
	title = {The diagonal of cellular spaces and effective algebro-homotopical constructions},
	journal = {arXiv e-prints},
	year = {2022},
	archivePrefix = {arXiv},
	eprint = {2111.06164},
	note = {To appear in EMS Surv. Math. Sci.}
}

@article{medina2022per_st,
	author = {{Lupo}, Umberto and {Medina-Mardones}, Anibal M. and {Tauzin}, Guillaume},
	title = "{Persistence Steenrod modules}",
	fjournal = {Journal of Applied and Computational Topology},
	journal = {J. Appl. Comput. Topol.},
	year = {2022},
	doi = {10.1007/s41468-022-00093-7},
	URL = {https://doi.org/10.1007/s41468-022-00093-7},
	pages = {1--28},
	publisher = {Springer}
}

@ARTICLE{medina2021comch,
	author = {Anibal M. {Medina-Mardones}},
	title = {{A computer algebra system for the study of commutativity up to coherent homotopies}},
	volume = {14},
	journal = {Advanced Studies: Euro-Tbilisi Mathematical Journal},
	number = {4},
	publisher = {Tbilisi Centre for Mathematical Sciences},
	pages = {147 -- 157},
	keywords = {cohomology operations, computer algebra system, cubical set, cup product, Homotopical algebra, operads, Python, Simplicial set},
	year = {2021},
	url = {https://projecteuclid.org/journals/advanced-studies-euro-tbilisi-mathematical-journal/volume-14/issue-4/A-computer-algebra-system-for-the-study-of-commutativity-up/10.3251/asetmj/1932200819.full}
}

@ARTICLE{medina2021prop2,
	AUTHOR = {{Medina-Mardones}, Anibal M.},
	TITLE = {A finitely presented {$E_\infty$}-prop {II}: cellular context},
	JOURNAL = {High. Struct.},
	FJOURNAL = {Higher Structures},
	VOLUME = {5},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {69--186},
	URL = {https://higher-structures.math.cas.cz/api/files/issues/Vol5Iss1/Medina-Mardones-2}
}

@article {medina2021may_st,
	AUTHOR = {Kaufmann, Ralph M. and Medina-Mardones, Anibal M.},
	TITLE = {Cochain level {M}ay-{S}teenrod operations},
	JOURNAL = {Forum Math.},
	FJOURNAL = {Forum Mathematicum},
	VOLUME = {33},
	YEAR = {2021},
	NUMBER = {6},
	PAGES = {1507--1526},
	ISSN = {0933-7741},
	MRCLASS = {55S05 (55S10 55S12 55S15 55U05 55U15)},
	MRNUMBER = {4333989},
	DOI = {10.1515/forum-2020-0296},
	URL = {https://doi.org/10.1515/forum-2020-0296},
}

@article {medina2021adem,
	AUTHOR = {Brumfiel, Greg and {Medina-Mardones}, Anibal and Morgan, John},
	TITLE = {A cochain level proof of {A}dem relations in the mod 2 {S}teenrod algebra},
	JOURNAL = {J. Homotopy Relat. Struct.},
	FJOURNAL = {Journal of Homotopy and Related Structures},
	VOLUME = {16},
	YEAR = {2021},
	NUMBER = {4},
	PAGES = {517--562},
	ISSN = {2193-8407},
	MRCLASS = {55S10},
	MRNUMBER = {4343073},
	DOI = {10.1007/s40062-021-00287-3},
	URL = {https://doi.org/10.1007/s40062-021-00287-3},
}

@ARTICLE{medina2021hyperharmonic,
	doi = {10.1088/2632-072x/abf231},
	url = {https://doi.org/10.1088/2632-072x/abf231},
	year = {2021},
	publisher = {{IOP} Publishing},
	volume = {2},
	number = {3},
	pages = {035009},
	author = {Anibal M. {Medina-Mardones} and Fernando E Rosas and Sebasti{\'{a}}n E Rodr{\'{i}}guez and Rodrigo Cofr{\'{e}}},
	title = {Hyperharmonic analysis for the study of high-order information-theoretic signals},
	journal = {Journal of Physics: Complexity},
}

@article{medina2021giotto,
	author = {Guillaume Tauzin and Umberto Lupo and Lewis Tunstall and Julian Burella P\'{e}rez and Matteo Caorsi and Anibal M. Medina-Mardones and Alberto Dassatti and Kathryn Hess},
	title = {giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration},
	journal = {Journal of Machine Learning Research},
	year = {2021},
	volume = {22},
	number = {39},
	pages = {1-6},
	url = {http://jmlr.org/papers/v22/20-325.html}
}

@ARTICLE{medina2020prop1,
	AUTHOR = {{Medina-Mardones}, Anibal M.},
	TITLE = {A finitely presented {$E_\infty$}-prop {I}: algebraic context},
	JOURNAL = {High. Struct.},
	FJOURNAL = {Higher Structures},
	VOLUME = {4},
	YEAR = {2020},
	NUMBER = {2},
	PAGES = {1--21},
	MRCLASS = {55P48 (18M85 18N50)},
	MRNUMBER = {4133162},
	url = {https://journals.mq.edu.au/api/files/issues/Vol4Iss2/Medina-Mardones}
}

@ARTICLE{medina2020globular,
	AUTHOR = {{Medina-Mardones}, Anibal M.},
	TITLE = {An algebraic representation of globular sets},
	JOURNAL = {Homology Homotopy Appl.},
	FJOURNAL = {Homology, Homotopy and Applications},
	VOLUME = {22},
	YEAR = {2020},
	NUMBER = {2},
	PAGES = {135--150},
	ISSN = {1532-0073},
	MRCLASS = {18N99 (18F99 55S05)},
	MRNUMBER = {4093174},
	DOI = {10.4310/hha.2020.v22.n2.a8},
	URL = {https://doi.org/10.4310/hha.2020.v22.n2.a8},
}

@ARTICLE{medina2020cartan,
	AUTHOR = {{Medina-Mardones}, Anibal M.},
	TITLE = {An effective proof of the {C}artan formula: the even prime},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {224},
	YEAR = {2020},
	NUMBER = {12},
	PAGES = {106444, 18},
	ISSN = {0022-4049},
	MRCLASS = {55S10 (55S05 55S12)},
	MRNUMBER = {4102178},
	DOI = {10.1016/j.jpaa.2020.106444},
	URL = {https://doi.org/10.1016/j.jpaa.2020.106444},
}

@ARTICLE{medina2021cobar,
	author = {{Medina-Mardones}, Anibal M. and {Rivera}, Manuel},
	title = "{Adams' cobar construction as a monoidal $E_{\infty}$-coalgebra model of the based loop space}",
	journal = {arXiv e-prints},
	year = {2021},
	archivePrefix = {arXiv},
	eprint = {2108.02790},
	note = {Submitted}
}

@ARTICLE{medina2021flowing,
	author = {{Friedman}, Greg and {Medina-Mardones}, Anibal M. and {Sinha}, Dev},
	title = "{Flowing from intersection product to cup product}",
	journal = {arXiv e-prints},
	year = {2021},
	archivePrefix = {arXiv},
	eprint = {2106.05986},
	doi = {10.48550/arXiv.2106.05986},
	note = {Submitted}
}

@ARTICLE{medina2022foundations,
	author = {Friedman, Greg and {Medina-Mardones}, Anibal M. and Sinha, Dev},
	title = {Foundations of geometric cohomology: from co-orientations to product structures},
	journal = {arXiv e-prints},
	year = {2022},
	archivePrefix = {arXiv},
	eprint = {2212.07482},
	doi = {10.48550/arxiv.2212.07482},
	url = {https://arxiv.org/abs/2212.07482},
}

@ARTICLE{medina2022axiomatic,
	author = {{Medina-Mardones}, Anibal M.},
	title = "{An axiomatic characterization of {S}teenrod's cup-$i$ products}",
	journal = {arXiv e-prints},
	year = {2022},
	archivePrefix = {arXiv},
	eprint = {1810.06505},
	note = {Submitted},
}

@ARTICLE{medina2022assembly,
	author = {{Medina-Mardones}, Anibal M.},
	title = "{Ranicki--Weiss assembly and the Steenrod construction}",
	journal = {arXiv e-prints},
	year = {2022},
	archivePrefix = {arXiv},
	eprint = {2207.13115},
	doi = {10.48550/arXiv.2207.13115},
	note = {Submitted},
}

@unpublished{medina2022multisimplicial,
	author = {{Medina-Mardones}, Anibal M. and Pizzi, Andrea and Salvatore, Paolo},
	title = "{Multisimplicial chains and configuration spaces}",
	year = {2023},
	url = {https://www.medina-mardones.com/},
	note = {In preparation},
}

@unpublished{medina2022fib_poly,
	author = {{Laplante-Anfossi}, Guillaume and {Medina-Mardones}, Anibal M. and Vallette, Bruno},
	title = {Framed polytopes, higher categories and the Steenrod construction},
	year = {2022},
	url = {www.medina-mardones.com/},
	note = {In preparation},
}

@thesis{medina2015thesis,
	author = {{Medina-Mardones}, Anibal M.},
	title = {${E}_\infty$-comodules and topological manifolds},
	institution = {Stony Brook University},
	year = {2015},
	url = {https://www.medina-mardones.com/}
}


%%% Group cohohmology and representation

@article {nakaoka1961symmetric,
	AUTHOR = {Nakaoka, Minoru},
	TITLE = {Homology of the infinite symmetric group},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {73},
	YEAR = {1961},
	PAGES = {229--257},
	ISSN = {0003-486X},
	MRCLASS = {55.30},
	MRNUMBER = {131874},
	MRREVIEWER = {A. Dold},
	DOI = {10.2307/1970333},
	URL = {https://doi.org/10.2307/1970333},
}

@book {adem2004milgram,
	AUTHOR = {Adem, Alejandro and Milgram, R. James},
	TITLE = {Cohomology of finite groups},
	SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
	Principles of Mathematical Sciences]},
	VOLUME = {309},
	EDITION = {Second},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {2004},
	PAGES = {viii+324},
	ISBN = {3-540-20283-8},
	MRCLASS = {20J06 (18G99 55R35 55R40)},
	MRNUMBER = {2035696},
	DOI = {10.1007/978-3-662-06280-7},
	URL = {https://doi.org/10.1007/978-3-662-06280-7},
}


%%% Operads, props and E-infty structures

@book {boardman1973homotopy,
	AUTHOR = {Boardman, J. M. and Vogt, R. M.},
	TITLE = {Homotopy invariant algebraic structures on topological spaces},
	SERIES = {Lecture Notes in Mathematics, Vol. 347},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1973},
	PAGES = {x+257},
	MRCLASS = {55D35},
	MRNUMBER = {0420609},
	MRREVIEWER = {J. Stasheff},
	url = {https://www.springer.com/gp/book/9783540064794}
}

@book {may1972geometry,
	AUTHOR = {May, J. P.},
	TITLE = {The geometry of iterated loop spaces},
	SERIES = {Lecture Notes in Mathematics, Vol. 271},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1972},
	PAGES = {viii+175},
	MRCLASS = {55D35},
	MRNUMBER = {0420610},
	MRREVIEWER = {J. Stasheff},
	url = {https://doi.org/10.1007/BFb0067491}
}

@article {ginzburg1994koszul,
	AUTHOR = {Ginzburg, Victor and Kapranov, Mikhail},
	TITLE = {Koszul duality for operads},
	JOURNAL = {Duke Math. J.},
	FJOURNAL = {Duke Mathematical Journal},
	VOLUME = {76},
	YEAR = {1994},
	NUMBER = {1},
	PAGES = {203--272},
	ISSN = {0012-7094},
	MRCLASS = {18D10 (14H10 16S99 18G50 55P47)},
	MRNUMBER = {1301191},
	MRREVIEWER = {Igor K\v{r}\'{\i}\v{z}},
	DOI = {10.1215/S0012-7094-94-07608-4},
	URL = {https://doi.org/10.1215/S0012-7094-94-07608-4},
}

@article {kriz1995operads,
	AUTHOR = {K\v{r}\'{i}\v{z}, Igor and May, J. P.},
	TITLE = {Operads, algebras, modules and motives},
	JOURNAL = {Ast\'{e}risque},
	FJOURNAL = {Ast\'{e}risque},
	NUMBER = {233},
	YEAR = {1995},
	PAGES = {iv+145pp},
	ISSN = {0303-1179},
	MRCLASS = {18G99 (14F99 19E99 55U99)},
	MRNUMBER = {1361938},
	MRREVIEWER = {J. P. C. Greenlees},
	URL = {http://www.numdam.org/item/AST_1995__233__1_0/}
}

@article {hinich1997homological,
	AUTHOR = {Hinich, Vladimir},
	TITLE = {Homological algebra of homotopy algebras},
	JOURNAL = {Comm. Algebra},
	FJOURNAL = {Communications in Algebra},
	VOLUME = {25},
	YEAR = {1997},
	NUMBER = {10},
	PAGES = {3291--3323},
	ISSN = {0092-7872},
	MRCLASS = {18G99 (16E99 18G05 55U35)},
	MRNUMBER = {1465117},
	MRREVIEWER = {Kathryn P. Hess},
	DOI = {10.1080/00927879708826055},
	URL = {https://doi.org/10.1080/00927879708826055},
}

@book {benson1998representations,
	AUTHOR = {Benson, D. J.},
	TITLE = {Representations and cohomology. {II}},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {31},
	EDITION = {Second},
	NOTE = {Cohomology of groups and modules},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {1998},
	PAGES = {xii+279},
	ISBN = {0-521-63652-3},
	MRCLASS = {20-02 (19-02 20Cxx 20Jxx 55-02)},
	MRNUMBER = {1634407},
	URL = {https://www.cambridge.org/pk/academic/subjects/mathematics/algebra/representations-and-cohomology-volume-2}
}

@article {mandell2001padic,
	AUTHOR = {Mandell, Michael A.},
	TITLE = {{$E_\infty$} algebras and {$p$}-adic homotopy theory},
	JOURNAL = {Topology},
	FJOURNAL = {Topology. An International Journal of Mathematics},
	VOLUME = {40},
	YEAR = {2001},
	NUMBER = {1},
	PAGES = {43--94},
	ISSN = {0040-9383},
	MRCLASS = {55P15 (55P60)},
	MRNUMBER = {1791268},
	MRREVIEWER = {Paul G. Goerss},
	DOI = {10.1016/S0040-9383(99)00053-1},
	URL = {https://doi.org/10.1016/S0040-9383(99)00053-1},
}

@article {berger2003modelcategory,
	AUTHOR = {Berger, Clemens and Moerdijk, Ieke},
	TITLE = {Axiomatic homotopy theory for operads},
	JOURNAL = {Comment. Math. Helv.},
	FJOURNAL = {Commentarii Mathematici Helvetici},
	VOLUME = {78},
	YEAR = {2003},
	NUMBER = {4},
	PAGES = {805--831},
	ISSN = {0010-2571},
	MRCLASS = {18D50 (18G55 55P48 55U35)},
	MRNUMBER = {2016697},
	MRREVIEWER = {David Chataur},
	DOI = {10.1007/s00014-003-0772-y},
	URL = {https://doi.org/10.1007/s00014-003-0772-y},
}

@article {mcclure2003multivariable,
	AUTHOR = {McClure, James E. and Smith, Jeffrey H.},
	TITLE = {Multivariable cochain operations and little {$n$}-cubes},
	JOURNAL = {J. Amer. Math. Soc.},
	FJOURNAL = {Journal of the American Mathematical Society},
	VOLUME = {16},
	YEAR = {2003},
	NUMBER = {3},
	PAGES = {681--704},
	ISSN = {0894-0347},
	MRCLASS = {55P48 (18D50)},
	MRNUMBER = {1969208},
	MRREVIEWER = {Benoit Fresse},
	DOI = {10.1090/S0894-0347-03-00419-3},
	URL = {https://doi.org/10.1090/S0894-0347-03-00419-3},
}

@article {berger2004combinatorial,
	AUTHOR = {Berger, Clemens and Fresse, Benoit},
	TITLE = {Combinatorial operad actions on cochains},
	JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
	FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
	Society},
	VOLUME = {137},
	YEAR = {2004},
	NUMBER = {1},
	PAGES = {135--174},
	ISSN = {0305-0041},
	MRCLASS = {18D50 (16E45 55P48)},
	MRNUMBER = {2075046},
	MRREVIEWER = {David Chataur},
	DOI = {10.1017/S0305004103007138},
	URL = {https://doi.org/10.1017/S0305004103007138},
}

@article {chataur2005adem-cartan,
	AUTHOR = {Chataur, David and Livernet, Muriel},
	TITLE = {Adem-{C}artan operads},
	JOURNAL = {Comm. Algebra},
	FJOURNAL = {Communications in Algebra},
	VOLUME = {33},
	YEAR = {2005},
	NUMBER = {11},
	PAGES = {4337--4360},
	ISSN = {0092-7872},
	MRCLASS = {55S10 (18D50 55P48)},
	MRNUMBER = {2184004},
	MRREVIEWER = {Vincent Giambalvo},
	DOI = {10.1080/00927870500243205},
	URL = {https://doi.org/10.1080/00927870500243205},
}

@article {mandell2006homotopy_type,
	AUTHOR = {Mandell, Michael A.},
	TITLE = {Cochains and homotopy type},
	JOURNAL = {Publ. Math. Inst. Hautes \'{E}tudes Sci.},
	FJOURNAL = {Publications Math\'{e}matiques. Institut de Hautes \'{E}tudes
	Scientifiques},
	NUMBER = {103},
	YEAR = {2006},
	PAGES = {213--246},
	ISSN = {0073-8301},
	MRCLASS = {55P15 (55N10 55P60)},
	MRNUMBER = {2233853},
	MRREVIEWER = {Donald Yau},
	DOI = {10.1007/s10240-006-0037-6},
	URL = {https://doi.org/10.1007/s10240-006-0037-6},
}

@incollection {markl2008props,
	AUTHOR = {Markl, Martin},
	TITLE = {Operads and {PROP}s},
	BOOKTITLE = {Handbook of algebra. {V}ol. 5},
	SERIES = {Handb. Algebr.},
	VOLUME = {5},
	PAGES = {87--140},
	PUBLISHER = {Elsevier/North-Holland, Amsterdam},
	YEAR = {2008},
	MRCLASS = {18D50},
	MRNUMBER = {2523450},
	DOI = {10.1016/S1570-7954(07)05002-4},
	URL = {https://doi.org/10.1016/S1570-7954(07)05002-4},
}

@incollection {kaufmann2009dimension,
	AUTHOR = {Kaufmann, Ralph M.},
	TITLE = {Dimension vs. genus: a surface realization of the little
	{$k$}-cubes and an {$E_\infty$} operad},
	BOOKTITLE = {Algebraic topology---old and new},
	SERIES = {Banach Center Publ.},
	VOLUME = {85},
	PAGES = {241--274},
	PUBLISHER = {Polish Acad. Sci. Inst. Math., Warsaw},
	YEAR = {2009},
	MRCLASS = {55P48 (18D50)},
	MRNUMBER = {2503531},
	MRREVIEWER = {Julia Bergner},
	DOI = {10.4064/bc85-0-17},
	URL = {https://doi.org/10.4064/bc85-0-17},
}

@article {fresse2010props,
	AUTHOR = {Fresse, Benoit},
	TITLE = {Props in model categories and homotopy invariance of
	structures},
	JOURNAL = {Georgian Math. J.},
	FJOURNAL = {Georgian Mathematical Journal},
	VOLUME = {17},
	YEAR = {2010},
	NUMBER = {1},
	PAGES = {79--160},
	ISSN = {1072-947X},
	MRCLASS = {18D50 (16E45 18G55 55P10)},
	MRNUMBER = {2640648},
	MRREVIEWER = {Bruno Vallette},
	url = {https://math.univ-lille1.fr/~fresse/PropHomotopy.pdf}
}

@book {loday2012operads,
	AUTHOR = {Loday, Jean-Louis and Vallette, Bruno},
	TITLE = {Algebraic operads},
	SERIES = {Grundlehren der Mathematischen Wissenschaften},
	VOLUME = {346},
	PUBLISHER = {Springer, Heidelberg},
	YEAR = {2012},
	PAGES = {xxiv+634},
	ISBN = {978-3-642-30361-6},
	MRCLASS = {18D50 (16E99)},
	MRNUMBER = {2954392},
	MRREVIEWER = {Andrey Yu. Lazarev},
	DOI = {10.1007/978-3-642-30362-3},
	URL = {https://doi.org/10.1007/978-3-642-30362-3},
}


%%% Steenrod operations

@article {alexander1936ring,
	AUTHOR = {Alexander, J. W.},
	TITLE = {On the connectivity ring of an abstract space},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {37},
	YEAR = {1936},
	NUMBER = {3},
	PAGES = {698--708},
	ISSN = {0003-486X},
	MRCLASS = {DML},
	MRNUMBER = {1503305},
	DOI = {10.2307/1968484},
	URL = {https://doi.org/10.2307/1968484},
}

@article {cech1936multiplication,
	AUTHOR = {\v{C}ech, Eduard},
	TITLE = {Multiplications on a complex},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {37},
	YEAR = {1936},
	NUMBER = {3},
	PAGES = {681--697},
	ISSN = {0003-486X},
	MRCLASS = {DML},
	MRNUMBER = {1503304},
	DOI = {10.2307/1968483},
	URL = {https://doi.org/10.2307/1968483},
}

@article {whitney1938products,
	AUTHOR = {Whitney, Hassler},
	TITLE = {On products in a complex},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {39},
	YEAR = {1938},
	NUMBER = {2},
	PAGES = {397--432},
	ISSN = {0003-486X},
	MRCLASS = {DML},
	MRNUMBER = {1503416},
	DOI = {10.2307/1968795},
	URL = {https://doi.org/10.2307/1968795},
}

@article {steenrod1947products,
	AUTHOR = {Steenrod, N. E.},
	TITLE = {Products of cocycles and extensions of mappings},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {48},
	YEAR = {1947},
	PAGES = {290--320},
	ISSN = {0003-486X},
	MRCLASS = {56.0X},
	MRNUMBER = {22071},
	MRREVIEWER = {B. Eckmann},
	DOI = {10.2307/1969172},
	URL = {https://doi.org/10.2307/1969172},
}

@article {adem1952iteration,
	AUTHOR = {Adem, Jos\'{e}},
	TITLE = {The iteration of the {S}teenrod squares in algebraic topology},
	JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
	FJOURNAL = {Proceedings of the National Academy of Sciences of the United
	States of America},
	VOLUME = {38},
	YEAR = {1952},
	PAGES = {720--726},
	ISSN = {0027-8424},
	MRCLASS = {56.0X},
	MRNUMBER = {50278},
	MRREVIEWER = {W. S. Massey},
	DOI = {10.1073/pnas.38.8.720},
	URL = {https://doi.org/10.1073/pnas.38.8.720},
}

@article {steenrod1952reduced,
	AUTHOR = {Steenrod, N. E.},
	TITLE = {Reduced powers of cohomology classes},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {56},
	YEAR = {1952},
	PAGES = {47--67},
	ISSN = {0003-486X},
	MRCLASS = {56.0X},
	MRNUMBER = {48026},
	MRREVIEWER = {H. Cartan},
	DOI = {10.2307/1969766},
	URL = {https://doi.org/10.2307/1969766},
}

@article {steenrod1953cyclic,
	AUTHOR = {Steenrod, N. E.},
	TITLE = {Cyclic reduced powers of cohomology classes},
	JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
	FJOURNAL = {Proceedings of the National Academy of Sciences of the United
	States of America},
	VOLUME = {39},
	YEAR = {1953},
	PAGES = {217--223},
	ISSN = {0027-8424},
	MRCLASS = {56.0X},
	MRNUMBER = {54965},
	MRREVIEWER = {H. Cartan},
	DOI = {10.1073/pnas.39.3.217},
	URL = {https://doi.org/10.1073/pnas.39.3.217},
}

@article {milnor1958dual,
	AUTHOR = {Milnor, John},
	TITLE = {The {S}teenrod algebra and its dual},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {67},
	YEAR = {1958},
	PAGES = {150--171},
	ISSN = {0003-486X},
	MRCLASS = {55.00 (18.00)},
	MRNUMBER = {99653},
	MRREVIEWER = {G. Hirsch},
	DOI = {10.2307/1969932},
	URL = {https://doi.org/10.2307/1969932},
}

@book {steenrod1962cohomology,
	ISBN = {9780691079240},
	abstract = {Written and revised by D. B. A. Epstein.},
	author = {Steenrod, {N. E.} and Epstein, {D. B. A.}},
	publisher = {Princeton University Press},
	title = {Cohomology Operations: Lectures by N. E. Steenrod.},
	year = {1962},
	URL = {http://www.jstor.org/stable/j.ctt1b7x52h},
}

@book {tangora1968operations,
	AUTHOR = {Mosher, Robert E. and Tangora, Martin C.},
	TITLE = {Cohomology operations and applications in homotopy theory},
	PUBLISHER = {Harper \& Row, Publishers, New York-London},
	YEAR = {1968},
	PAGES = {x+214},
	MRCLASS = {55.40},
	MRNUMBER = {0226634},
	MRREVIEWER = {Larry Smith},
	URL = {https://www.worldcat.org/title/cohomology-operations-and-applications-in-homotopy-theory/oclc/212909028}
}

@inproceedings {may1970general,
	AUTHOR = {May, J. Peter},
	TITLE = {A general algebraic approach to {S}teenrod operations},
	BOOKTITLE = {The {S}teenrod {A}lgebra and its {A}pplications},
	SERIES = {Lecture Notes in Mathematics, Vol. 168},
	PAGES = {153--231},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1970},
	MRCLASS = {55.34 (18.00)},
	MRNUMBER = {0281196},
	MRREVIEWER = {W. D. Barcus},
	url = {https://link.springer.com/chapter/10.1007/BFb0058524}
}

@article {real1996computability,
	AUTHOR = {Real, Pedro},
	TITLE = {On the computability of the {S}teenrod squares},
	JOURNAL = {Ann. Univ. Ferrara Sez. VII (N.S.)},
	FJOURNAL = {Annali dell'Universit\`a di Ferrara. Nuova Serie. Sezione VII.
	Scienze Matematiche},
	VOLUME = {42},
	YEAR = {1996},
	PAGES = {57--63 (1998)},
	ISSN = {0430-3202},
	MRCLASS = {55S05 (55S10)},
	MRNUMBER = {1622630},
	MRREVIEWER = {N. J. Kuhn},
	URL = {https://doi.org/10.1007/BF02955020}
}

@incollection {gonzalez-diaz1999steenrod,
	AUTHOR = {Gonz\'{a}lez-D\'{i}az, Roc\'{i}o and Real, Pedro},
	TITLE = {A combinatorial method for computing {S}teenrod squares},
	NOTE = {Effective methods in algebraic geometry (Saint-Malo, 1998)},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {139},
	YEAR = {1999},
	NUMBER = {1-3},
	PAGES = {89--108},
	ISSN = {0022-4049},
	MRCLASS = {55N45 (55S10 55U10 55U15)},
	MRNUMBER = {1700539},
	MRREVIEWER = {Kalathoor Varadarajan},
	DOI = {10.1016/S0022-4049(99)00006-7},
	URL = {https://doi.org/10.1016/S0022-4049(99)00006-7},
}

@article {kadeishvili1999coproducts,
	AUTHOR = {Kadeishvili, T.},
	TITLE = {D{G} {H}opf algebras with {S}teenrod's {$i$}-th coproducts},
	JOURNAL = {Proc. A. Razmadze Math. Inst.},
	FJOURNAL = {Georgian Academy of Sciences. Proceedings of A. Razmadze
	Mathematical Institute},
	VOLUME = {119},
	YEAR = {1999},
	PAGES = {73--84},
	ISSN = {1512-0007},
	MRCLASS = {55S05 (16W30)},
	MRNUMBER = {1710566},
	url = {http://www.rmi.ge/proceedings/volumes/pdf/v119-7.pdf}
}

@article{gonzalez2003computation,
	title={Computation of cohomology operations of finite simplicial complexes},
	author={Gonzalez-Diaz, Rocio and Real, Pedro and others},
	journal={Homology, Homotopy and Applications},
	volume={5},
	number={2},
	pages={83--93},
	year={2003},
	publisher={International Press of Boston},
	url={https://dx.doi.org/10.4310/HHA.2003.v5.n2.a4}
}

@article {gonzalez-diaz2005cocyclic,
	AUTHOR = {{Gonzalez-Diaz}, Rocio and Real, Pedro},
	TITLE = {{HPT} and cocyclic operations},
	JOURNAL = {Homology Homotopy Appl.},
	FJOURNAL = {Homology, Homotopy and Applications},
	VOLUME = {7},
	YEAR = {2005},
	NUMBER = {2},
	PAGES = {95--108},
	ISSN = {1532-0081},
	MRCLASS = {55S10 (05E99)},
	MRNUMBER = {2156309},
	MRREVIEWER = {Adriana Ciampella},
	URL = {http://projecteuclid.org/euclid.hha/1139839376},
}

@article {tourtchine2006cohen,
	AUTHOR = {Tourtchine, Victor},
	TITLE = {Dyer-{L}ashof-{C}ohen operations in {H}ochschild cohomology},
	JOURNAL = {Algebr. Geom. Topol.},
	FJOURNAL = {Algebraic \& Geometric Topology},
	VOLUME = {6},
	YEAR = {2006},
	PAGES = {875--894},
	ISSN = {1472-2747},
	MRCLASS = {55S12 (16E40 18D50 55P48)},
	MRNUMBER = {2240919},
	MRREVIEWER = {Vigleik Angeltveit},
	DOI = {10.2140/agt.2006.6.875},
	URL = {https://doi-org.ezproxy.lib.purdue.edu/10.2140/agt.2006.6.875},
}

@incollection {pilarczyk2016cubical,
	AUTHOR = {Kr\v{c}\'{a}l, Marek and Pilarczyk, Pawe{\l} },
	TITLE = {Computation of cubical {S}teenrod squares},
	BOOKTITLE = {Computational topology in image context},
	SERIES = {Lecture Notes in Comput. Sci.},
	VOLUME = {9667},
	PAGES = {140--151},
	PUBLISHER = {Springer},
	YEAR = {2016},
	MRCLASS = {55N45 (55U15 68W30)},
	MRNUMBER = {3533883},
	DOI = {10.1007/978-3-319-39441-1\_13},
	URL = {https://doi.org/10.1007/978-3-319-39441-1_13},
}

@article {cantero-moran2020khovanov,
	AUTHOR = {Cantero Mor\'{a}n, Federico},
	TITLE = {Higher {S}teenrod squares for {K}hovanov homology},
	JOURNAL = {Adv. Math.},
	FJOURNAL = {Advances in Mathematics},
	VOLUME = {369},
	YEAR = {2020},
	PAGES = {107153, 79},
	ISSN = {0001-8708},
	MRCLASS = {55P42 (18N50 55S10 57K18)},
	MRNUMBER = {4094757},
	MRREVIEWER = {Nikolai N. Saveliev},
	DOI = {10.1016/j.aim.2020.107153},
	URL = {https://doi.org/10.1016/j.aim.2020.107153},
}


%%% Iterated loop spaces

@article {araki56squaring,
	AUTHOR = {Kudo, Tatsuji and Araki, Sh\^{o}r\^{o}},
	TITLE = {Topology of {$H_n$}-spaces and {$H$}-squaring operations},
	JOURNAL = {Mem. Fac. Sci. Ky\={u}sy\={u} Univ. A},
	FJOURNAL = {Memoirs of the Faculty of Science. Kyushu University. Series
	A. Mathematics},
	VOLUME = {10},
	YEAR = {1956},
	PAGES = {85--120},
	ISSN = {0373-6385},
	MRCLASS = {55.0X},
	MRNUMBER = {87948},
	MRREVIEWER = {R. Bott},
	doi = {10.2206/kyushumfs.10.85},
	url = {https://doi.org/10.2206/kyushumfs.10.85}
}

@article {dyer62lashof,
	AUTHOR = {Dyer, Eldon and Lashof, R. K.},
	TITLE = {Homology of iterated loop spaces},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {84},
	YEAR = {1962},
	PAGES = {35--88},
	ISSN = {0002-9327},
	MRCLASS = {55.30 (55.40)},
	MRNUMBER = {141112},
	MRREVIEWER = {J. F. Adams},
	DOI = {10.2307/2372804},
	URL = {https://doi.org/10.2307/2372804},
}

@article {barratt1972priddyquillen,
	AUTHOR = {Barratt, Michael and Priddy, Stewart},
	TITLE = {On the homology of non-connected monoids and their associated
	groups},
	JOURNAL = {Comment. Math. Helv.},
	FJOURNAL = {Commentarii Mathematici Helvetici},
	VOLUME = {47},
	YEAR = {1972},
	PAGES = {1--14},
	ISSN = {0010-2571},
	MRCLASS = {18H10 (57F05)},
	MRNUMBER = {314940},
	MRREVIEWER = {J. C. Becker},
	DOI = {10.1007/BF02566785},
	URL = {https://doi.org/10.1007/BF02566785},
}

@book {may76homology,
	AUTHOR = {Cohen, Frederick R. and Lada, Thomas J. and May, J. Peter},
	TITLE = {The homology of iterated loop spaces},
	SERIES = {Lecture Notes in Mathematics, Vol. 533},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1976},
	PAGES = {vii+490},
	MRCLASS = {55G25 (55D35)},
	MRNUMBER = {0436146},
	MRREVIEWER = {Peter J. Eccles},
	url = {https://doi.org/10.1007/BFb0080464}
}

@incollection {lawson2020dyerlashof,
	AUTHOR = {Lawson, Tyler},
	TITLE = {{$E_n$}-spectra and {D}yer-{L}ashof operations},
	BOOKTITLE = {Handbook of homotopy theory},
	SERIES = {CRC Press/Chapman Hall Handb. Math. Ser.},
	PAGES = {793--849},
	PUBLISHER = {CRC Press, Boca Raton, FL},
	YEAR = {2020},
	MRCLASS = {55P43 (55S12 55S20)},
	MRNUMBER = {4197999},
	url = {https://arxiv.org/abs/2002.03889}
}


%%% Cubical structures

@article {serre1951homologie,
	AUTHOR = {Serre, Jean-Pierre},
	TITLE = {Homologie singuli\'{e}re des espaces fibr\'{e}s. {A}pplications},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {54},
	YEAR = {1951},
	PAGES = {425--505},
	ISSN = {0003-486X},
	MRCLASS = {56.0X},
	MRNUMBER = {45386},
	MRREVIEWER = {W. S. Massey},
	DOI = {10.2307/1969485},
	URL = {https://doi.org/10.2307/1969485},
}

@article {kan1955abstract,
	AUTHOR = {Kan, Daniel M.},
	TITLE = {Abstract homotopy. {I}},
	JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
	FJOURNAL = {Proceedings of the National Academy of Sciences of the United
	States of America},
	VOLUME = {41},
	YEAR = {1955},
	PAGES = {1092--1096},
	ISSN = {0027-8424},
	MRCLASS = {55.0X},
	MRNUMBER = {79762},
	MRREVIEWER = {J. C. Moore},
	DOI = {10.1073/pnas.41.12.1092},
	URL = {https://doi.org/10.1073/pnas.41.12.1092},
}

@article {kan1956abstract,
	AUTHOR = {Kan, Daniel M.},
	TITLE = {Abstract homotopy. {II}},
	JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
	FJOURNAL = {Proceedings of the National Academy of Sciences of the United
	States of America},
	VOLUME = {42},
	YEAR = {1956},
	PAGES = {255--258},
	ISSN = {0027-8424},
	MRCLASS = {55.0X},
	MRNUMBER = {79763},
	MRREVIEWER = {J. C. Moore},
	DOI = {10.1073/pnas.42.5.255},
	URL = {https://doi.org/10.1073/pnas.42.5.255},
}

@article {brown1981cubes,
	AUTHOR = {Brown, Ronald and Higgins, Philip J.},
	TITLE = {On the algebra of cubes},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {21},
	YEAR = {1981},
	NUMBER = {3},
	PAGES = {233--260},
	ISSN = {0022-4049},
	MRCLASS = {55P99 (18D99 18G55 55Q05)},
	MRNUMBER = {617135},
	MRREVIEWER = {Johannes Huebschmann},
	DOI = {10.1016/0022-4049(81)90018-9},
	URL = {https://doi.org/10.1016/0022-4049(81)90018-9},
}

@article {grandis2003cubical,
	AUTHOR = {Grandis, Marco and Mauri, Luca},
	TITLE = {Cubical sets and their site},
	JOURNAL = {Theory Appl. Categ.},
	FJOURNAL = {Theory and Applications of Categories},
	VOLUME = {11},
	YEAR = {2003},
	PAGES = {No. 8, 185--211},
	MRCLASS = {18G30 (18C10 18D10 55U10)},
	MRNUMBER = {1988396},
	url = {http://www.tac.mta.ca/tac/volumes/11/8/11-08.pdf}
}

@book {tomasz2004computational,
	AUTHOR = {Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek,
	Marian},
	TITLE = {Computational homology},
	SERIES = {Applied Mathematical Sciences},
	VOLUME = {157},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {2004},
	PAGES = {xviii+480},
	ISBN = {0-387-40853-3},
	MRCLASS = {55-02 (37B30 55M20 55M25 68U10 94A08)},
	MRNUMBER = {2028588},
	MRREVIEWER = {Andrzej Kozlowski},
	DOI = {10.1007/b97315},
	URL = {https://doi.org/10.1007/b97315},
}

@article {kapulkin2020straightening,
	AUTHOR = {Kapulkin, Krzysztof and Voevodsky, Vladimir},
	TITLE = {A cubical approach to straightening},
	JOURNAL = {J. Topol.},
	FJOURNAL = {Journal of Topology},
	VOLUME = {13},
	YEAR = {2020},
	NUMBER = {4},
	PAGES = {1682--1700},
	ISSN = {1753-8416},
	MRCLASS = {18N50 (18F20 18G99 55U35 55U40)},
	MRNUMBER = {4186141},
	DOI = {10.1112/topo.12173},
	URL = {https://doi.org/10.1112/topo.12173},
}

@article {galvez-carrilo202hopf1,
	AUTHOR = {G\'{a}lvez-Carrillo, Imma and Kaufmann, Ralph M. and Tonks,
	Andrew},
	TITLE = {Three {H}opf algebras from number theory, physics \& topology,
	and their common background {I}: operadic \& simplicial
	aspects},
	JOURNAL = {Commun. Number Theory Phys.},
	FJOURNAL = {Communications in Number Theory and Physics},
	VOLUME = {14},
	YEAR = {2020},
	NUMBER = {1},
	PAGES = {1--90},
	ISSN = {1931-4523},
	MRCLASS = {16T05 (18M70 55P48 81R50)},
	MRNUMBER = {4060970},
	DOI = {10.4310/CNTP.2020.v14.n1.a1},
	URL = {https://doi.org/10.4310/CNTP.2020.v14.n1.a1},
}


%%% Bar and cobar constructions

@article {adams1956cobar,
	AUTHOR = {Adams, J. F.},
	TITLE = {On the cobar construction},
	JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
	FJOURNAL = {Proceedings of the National Academy of Sciences of the United
	States of America},
	VOLUME = {42},
	YEAR = {1956},
	PAGES = {409--412},
	ISSN = {0027-8424},
	MRCLASS = {55.0X},
	MRNUMBER = {79266},
	MRREVIEWER = {W. S. Massey},
	DOI = {10.1073/pnas.42.7.409},
	URL = {https://doi.org/10.1073/pnas.42.7.409},
}

@article {smith1994cobar,
	AUTHOR = {Smith, Justin R.},
	TITLE = {Iterating the cobar construction},
	JOURNAL = {Mem. Amer. Math. Soc.},
	FJOURNAL = {Memoirs of the American Mathematical Society},
	VOLUME = {109},
	YEAR = {1994},
	NUMBER = {524},
	PAGES = {viii+141},
	ISSN = {0065-9266},
	MRCLASS = {55U15 (55P35 55R20 57T30)},
	MRNUMBER = {1208225},
	MRREVIEWER = {J. P. May},
	DOI = {10.1090/memo/0524},
	URL = {https://doi.org/10.1090/memo/0524},
}

@article {baues1998hopf,
	AUTHOR = {Baues, Hans-Joachim},
	TITLE = {The cobar construction as a {H}opf algebra},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {132},
	YEAR = {1998},
	NUMBER = {3},
	PAGES = {467--489},
	ISSN = {0020-9910},
	MRCLASS = {55P35 (18G50 55P62)},
	MRNUMBER = {1625728},
	MRREVIEWER = {Paul G. Goerss},
	DOI = {10.1007/s002220050231},
	URL = {https://doi.org/10.1007/s002220050231},
}

@article {kadeishvili2003cupi,
	AUTHOR = {Kadeishvili, T.},
	TITLE = {Cochain operations defining {S}teenrod {$\smile_i$}-products
	in the bar construction},
	JOURNAL = {Georgian Math. J.},
	FJOURNAL = {Georgian Mathematical Journal},
	VOLUME = {10},
	YEAR = {2003},
	NUMBER = {1},
	PAGES = {115--125},
	ISSN = {1072-947X},
	MRCLASS = {55P48 (55S10 57T30)},
	MRNUMBER = {1990691},
	MRREVIEWER = {Dai Tamaki},
	url = {https://www.emis.de/journals/GMJ/vol10/v10n1-9.pdf}
}

@article {fresse2003hopf,
	AUTHOR = {Fresse, Benoit},
	TITLE = {La construction bar d'une alg\'{e}bre comme alg\'{e}bre de {H}opf
	{$E$}-infini},
	JOURNAL = {C. R. Math. Acad. Sci. Paris},
	FJOURNAL = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris},
	VOLUME = {337},
	YEAR = {2003},
	NUMBER = {6},
	PAGES = {403--408},
	ISSN = {1631-073X},
	MRCLASS = {18D50},
	MRNUMBER = {2015084},
	DOI = {10.1016/S1631-073X(03)00354-6},
	URL = {https://doi.org/10.1016/S1631-073X(03)00354-6},
}

@article {hess2010cobar,
	AUTHOR = {Hess, Kathryn and Tonks, Andrew},
	TITLE = {The loop group and the cobar construction},
	JOURNAL = {Proc. Amer. Math. Soc.},
	FJOURNAL = {Proceedings of the American Mathematical Society},
	VOLUME = {138},
	YEAR = {2010},
	NUMBER = {5},
	PAGES = {1861--1876},
	ISSN = {0002-9939},
	MRCLASS = {55P35 (16E45 18G30 55U10 57T30)},
	MRNUMBER = {2587471},
	MRREVIEWER = {Paul G. Goerss},
	DOI = {10.1090/S0002-9939-09-10238-1},
	URL = {https://doi.org/10.1090/S0002-9939-09-10238-1},
}

@article {fresse2010bar,
	AUTHOR = {Fresse, Benoit},
	TITLE = {The bar complex of an {$E$}-infinity algebra},
	JOURNAL = {Adv. Math.},
	FJOURNAL = {Advances in Mathematics},
	VOLUME = {223},
	YEAR = {2010},
	NUMBER = {6},
	PAGES = {2049--2096},
	ISSN = {0001-8708},
	MRCLASS = {57T30 (18G55 55P35 55P48)},
	MRNUMBER = {2601008},
	MRREVIEWER = {David Chataur},
	DOI = {10.1016/j.aim.2009.08.022},
	URL = {https://doi.org/10.1016/j.aim.2009.08.022},
}


%%% Persistent homology

@article {edelsbrunner2002topological,
	title={Topological Persistence and Simplification},
	author={Edelsbrunner, Herbert and Letscher, David and Zomorodian, Afra},
	journal={Discrete Comput Geom},
	volume={28},
	pages={511--533},
	year={2002},
	publisher={Citeseer},
	url = {https://doi.org/10.1007/s00454-002-2885-2}
}

@article {carlsson2005barcode,
	title={Computing persistent homology},
	author={Zomorodian, Afra and Carlsson, Gunnar},
	journal={Discrete \& Computational Geometry},
	volume={33},
	number={2},
	pages={249--274},
	year={2005},
	publisher={Springer},
	url = {https://doi.org/10.1007/s00454-004-1146-y}
}

@article {carlsson2005data,
	AUTHOR = {Carlsson, Gunnar},
	TITLE = {Topology and data},
	JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
	FJOURNAL = {American Mathematical Society. Bulletin. New Series},
	VOLUME = {46},
	YEAR = {2009},
	NUMBER = {2},
	PAGES = {255--308},
	ISSN = {0273-0979},
	MRCLASS = {55-02 (62-02 62-07 94A12)},
	MRNUMBER = {2476414},
	MRREVIEWER = {Peter Bubenik},
	DOI = {10.1090/S0273-0979-09-01249-X},
	URL = {https://doi.org/10.1090/S0273-0979-09-01249-X},
}

@article {carlsson2008images,
	AUTHOR = {Carlsson, Gunnar and Ishkhanov, Tigran and de Silva, Vin and
	Zomorodian, Afra},
	TITLE = {On the local behavior of spaces of natural images},
	JOURNAL = {Int. J. Comput. Vis.},
	FJOURNAL = {International Journal of Computer Vision},
	VOLUME = {76},
	YEAR = {2008},
	NUMBER = {1},
	PAGES = {1--12},
	ISSN = {0920-5691},
	MRCLASS = {68U05 (55N35 57M50 94A08)},
	MRNUMBER = {3715451},
	DOI = {10.1007/s11263-007-0056-x},
	URL = {https://doi.org/10.1007/s11263-007-0056-x},
}

@article {desilva2011duality,
	title = {Dualities in persistent (co)homology},
	author = {Vin de Silva and Dmitriy Morozov and Mikael Vejdemo-Johansson},
	year = {2011},
	publisher = {{IOP} Publishing},
	volume = {27},
	number = {12},
	pages = {124003},
	journal = {Inverse Problems},
	doi = {10.1088/0266-5611/27/12/124003},
	url = {https://doi.org/10.1088/0266-5611/27/12/124003},
}

@article {chan2013viral,
	author = {Chan, Joseph Minhow and Carlsson, Gunnar and Rabadan, Raul},
	title = {Topology of viral evolution},
	volume = {110},
	number = {46},
	pages = {18566--18571},
	year = {2013},
	doi = {10.1073/pnas.1313480110},
	publisher = {National Academy of Sciences},
	issn = {0027-8424},
	URL = {https://www.pnas.org/content/110/46/18566},
	eprint = {https://www.pnas.org/content/110/46/18566.full.pdf},
	journal = {Proceedings of the National Academy of Sciences}
}

@article{lee2017quantifying,
	title={Quantifying similarity of pore-geometry in nanoporous materials},
	author={Lee, Yongjin and Barthel, Senja D and D{\l}otko, Pawe{\l} and Moosavi, S Mohamad and Hess, Kathryn and Smit, Berend},
	journal={Nature communications},
	volume={8},
	number={1},
	pages={1--8},
	year={2017},
	publisher={Nature Publishing Group},
	url={https://doi.org/10.1038/ncomms15396}
}

@article {hess2017cliques,
	title={Cliques of neurons bound into cavities provide a missing link between structure and function},
	author={Reimann, Michael W and Nolte, Max and Scolamiero, Martina and Turner, Katharine and Perin, Rodrigo and Chindemi, Giuseppe and D{\l}otko, Pawe{\l} and Levi, Ran and Hess, Kathryn and Markram, Henry},
	journal={Frontiers in computational neuroscience},
	volume={11},
	pages={48},
	year={2017},
	publisher={Frontiers},
	doi = {10.3389/fncom.2017.00048},
	URL = {https://doi.org/10.3389/fncom.2017.00048}
}

@article {bauer2021ripser,
	AUTHOR = {Bauer, Ulrich},
	TITLE = {Ripser: efficient computation of {V}ietoris-{R}ips persistence
	barcodes},
	JOURNAL = {J. Appl. Comput. Topol.},
	FJOURNAL = {Journal of Applied and Computational Topology},
	VOLUME = {5},
	YEAR = {2021},
	NUMBER = {3},
	PAGES = {391--423},
	ISSN = {2367-1726},
	MRCLASS = {55N31 (55-04)},
	MRNUMBER = {4298669},
	DOI = {10.1007/s41468-021-00071-5},
	URL = {https://doi.org/10.1007/s41468-021-00071-5},
}

%%% Higher categories

@article {street1987orientals,
	AUTHOR = {Street, Ross},
	TITLE = {The algebra of oriented simplexes},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {49},
	YEAR = {1987},
	NUMBER = {3},
	PAGES = {283--335},
	ISSN = {0022-4049},
	MRCLASS = {18G50 (18D05 18G55)},
	MRNUMBER = {920944},
	MRREVIEWER = {Timothy Porter},
	DOI = {10.1016/0022-4049(87)90137-X},
	URL = {https://doi.org/10.1016/0022-4049(87)90137-X},
}

@incollection {kapranov1991polycategory,
	AUTHOR = {Kapranov, M. M. and Voevodsky, V. A.},
	TITLE = {Combinatorial-geometric aspects of polycategory theory:
	pasting schemes and higher {B}ruhat orders (list of results)},
	NOTE = {International Category Theory Meeting (Bangor, 1989 and
	Cambridge, 1990)},
	JOURNAL = {Cahiers Topologie G\'{e}om. Diff\'{e}rentielle Cat\'{e}g.},
	FJOURNAL = {Cahiers de Topologie et G\'{e}om\'{e}trie Diff\'{e}rentielle Cat\'{e}goriques},
	VOLUME = {32},
	YEAR = {1991},
	NUMBER = {1},
	PAGES = {11--27},
	ISSN = {0008-0004},
	MRCLASS = {18D05 (52B30)},
	MRNUMBER = {1130400},
	MRREVIEWER = {R. H. Street},
	URL = {http://www.numdam.org/item/CTGDC_1991__32_1_11_0/},
}

@article {brown2003chains,
	AUTHOR = {Brown, Ronald and Higgins, Philip J.},
	TITLE = {Cubical abelian groups with connections are equivalent to
	chain complexes},
	JOURNAL = {Homology Homotopy Appl.},
	FJOURNAL = {Homology, Homotopy and Applications},
	VOLUME = {5},
	YEAR = {2003},
	NUMBER = {1},
	PAGES = {49--52},
	ISSN = {1532-0081},
	MRCLASS = {18D35 (55U15)},
	MRNUMBER = {1989612},
	URL = {http://projecteuclid.org/euclid.hha/1139839925},
}

@article {steiner2004omega,
	AUTHOR = {Steiner, Richard},
	TITLE = {Omega-categories and chain complexes},
	JOURNAL = {Homology Homotopy Appl.},
	FJOURNAL = {Homology, Homotopy and Applications},
	VOLUME = {6},
	YEAR = {2004},
	NUMBER = {1},
	PAGES = {175--200},
	ISSN = {1532-0081},
	MRCLASS = {18D05},
	MRNUMBER = {2061574},
	MRREVIEWER = {Graham J. Ellis},
	URL = {http://projecteuclid.org/euclid.hha/1139839551},
}

@book {brown2011nonabelian,
	AUTHOR = {Brown, Ronald and Higgins, Philip J. and Sivera, Rafael},
	TITLE = {Nonabelian algebraic topology},
	SERIES = {EMS Tracts in Mathematics},
	VOLUME = {15},
	PUBLISHER = {European Mathematical Society (EMS), Z\"{u}rich},
	YEAR = {2011},
	PAGES = {xxxvi+668},
	ISBN = {978-3-03719-083-8},
	MRCLASS = {55U35 (18D05 18D10 55U10 55U15)},
	MRNUMBER = {2841564},
	MRREVIEWER = {Geoffrey M. L. Powell},
	DOI = {10.4171/083},
	URL = {https://doi.org/10.4171/083},
}

@article {ayala2014configuration,
	AUTHOR = {Ayala, David and Hepworth, Richard},
	TITLE = {Configuration spaces and {$\Theta_n$}},
	JOURNAL = {Proc. Amer. Math. Soc.},
	FJOURNAL = {Proceedings of the American Mathematical Society},
	VOLUME = {142},
	YEAR = {2014},
	NUMBER = {7},
	PAGES = {2243--2254},
	ISSN = {0002-9939},
	MRCLASS = {18D05 (55R80)},
	MRNUMBER = {3195750},
	MRREVIEWER = {Jeffrey Giansiracusa},
	DOI = {10.1090/S0002-9939-2014-11946-0},
	URL = {https://doi.org/10.1090/S0002-9939-2014-11946-0},
}

@article {forest2022pasting,
	AUTHOR = {Forest, Simon},
	TITLE = {Unifying notions of pasting diagrams},
	JOURNAL = {High. Struct.},
	FJOURNAL = {Higher Structures},
	VOLUME = {6},
	YEAR = {2022},
	NUMBER = {1},
	PAGES = {1--79},
	MRCLASS = {18N30},
	MRNUMBER = {4456592},
	DOI = {10.21136/HS.2022.01},
	URL = {https://doi.org/10.21136/HS.2022.01},
}

%%% TQFT

@article {cimasoni2007dimers,
	AUTHOR = {Cimasoni, David and Reshetikhin, Nicolai},
	TITLE = {Dimers on surface graphs and spin structures. {I}},
	JOURNAL = {Comm. Math. Phys.},
	FJOURNAL = {Communications in Mathematical Physics},
	VOLUME = {275},
	YEAR = {2007},
	NUMBER = {1},
	PAGES = {187--208},
	ISSN = {0010-3616},
	MRCLASS = {82B20 (05C90 82B41)},
	MRNUMBER = {2335773},
	MRREVIEWER = {Christian Mercat},
	DOI = {10.1007/s00220-007-0302-7},
	URL = {https://doi.org/10.1007/s00220-007-0302-7},
}

@ARTICLE{freed2014shortrange,
	author = {{Freed}, Daniel S.},
	title = "{Short-range entanglement and invertible field theories}",
	journal = {arXiv e-prints},
	year = {2014},
	archivePrefix = {arXiv},
	eprint = {1406.7278},
}

@article{kapustin2015cobordism,
	AUTHOR = {Kapustin, Anton and Thorngren, Ryan and Turzillo, Alex and Wang, Zitao},
	TITLE = {Fermionic symmetry protected topological phases and
	cobordisms},
	JOURNAL = {J. High Energy Phys.},
	FJOURNAL = {Journal of High Energy Physics},
	YEAR = {2015},
	NUMBER = {12},
	PAGES = {052, front matter+20pp},
	ISSN = {1126-6708},
	MRCLASS = {81T60},
	MRNUMBER = {3464750},
	DOI = {10.1007/jhep12(2015)052},
	URL = {https://doi.org/10.1007/jhep12(2015)052},
}

@article {gaiotto2016spin,
	author = {Gaiotto, Davide and Kapustin, Anton},
	title = {Spin TQFTs and fermionic phases of matter},
	journal = {International Journal of Modern Physics A},
	volume = {31},
	number = {28n29},
	pages = {1645044},
	year = {2016},
	doi = {10.1142/S0217751X16450445},
	URL = {https://doi.org/10.1142/S0217751X16450445},
	eprint = {https://doi.org/10.1142/S0217751X16450445},
}

@article {bhardwaj2017fermionic,
	author={Bhardwaj, Lakshya
	and Gaiotto, Davide
	and Kapustin, Anton},
	title={State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter},
	journal={Journal of High Energy Physics},
	year={2017},
	month={04},
	day={18},
	volume={2017},
	number={4},
	pages={96},
	issn={1029-8479},
	doi={10.1007/JHEP04(2017)096},
	url={https://doi.org/10.1007/JHEP04(2017)096}
}

@article {kapustin2017fermionic,
	AUTHOR = {Kapustin, Anton and Thorngren, Ryan},
	TITLE = {Fermionic {SPT} phases in higher dimensions and bosonization},
	JOURNAL = {J. High Energy Phys.},
	FJOURNAL = {Journal of High Energy Physics},
	YEAR = {2017},
	NUMBER = {10},
	PAGES = {080, front matter+48},
	ISSN = {1126-6708},
	MRCLASS = {81T30},
	MRNUMBER = {3731133},
	DOI = {10.1007/jhep10(2017)080},
	URL = {https://doi.org/10.1007/jhep10(2017)080},
}

@article {brumfiel2016pontrjagin,
	author = {{Brumfiel}, Greg and {Morgan}, John},
	title = "{The {P}ontrjagin Dual of 3-Dimensional Spin Bordism}",
	journal = {arXiv e-prints},
	year = {2016},
	archivePrefix = {arXiv},
	eprint = {1612.02860},
}

@article {brumfiel2018pontrjagin,
	author = {{Brumfiel}, Greg and {Morgan}, John},
	title = "{The {P}ontrjagin Dual of 4-Dimensional Spin Bordism}",
	journal = {arXiv e-prints},
	year = {2018},
	archivePrefix = {arXiv},
	eprint = {1803.08147},
}

@article {brumfiel2018quadratic,
	author = {{Brumfiel}, Greg and {Morgan}, John},
	title = "{Quadratic Functions of Cocycles and Pin Structures}",
	journal = {arXiv e-prints},
	year = {2018},
	archivePrefix = {arXiv},
	eprint = {1808.10484},
}

@article {xiong2018minimalist,
	AUTHOR = {Xiong, Charles Zhaoxi},
	TITLE = {Minimalist approach to the classification of symmetry
	protected topological phases},
	JOURNAL = {J. Phys. A},
	FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
	VOLUME = {51},
	YEAR = {2018},
	NUMBER = {44},
	PAGES = {445001, 71},
	ISSN = {1751-8113},
	MRCLASS = {82B26 (55N20)},
	MRNUMBER = {3863285},
	DOI = {10.1088/1751-8121/aae0b1},
	URL = {https://doi.org/10.1088/1751-8121/aae0b1},
}

@article {gaiotto2019cohomology,
	AUTHOR = {Gaiotto, Davide and Johnson-Freyd, Theo},
	TITLE = {Symmetry protected topological phases and generalized
	cohomology},
	JOURNAL = {J. High Energy Phys.},
	FJOURNAL = {Journal of High Energy Physics},
	YEAR = {2019},
	NUMBER = {5},
	PAGES = {007, 34},
	ISSN = {1126-6708},
	MRCLASS = {81T45},
	MRNUMBER = {3978827},
	DOI = {10.1007/jhep05(2019)007},
	URL = {https://doi.org/10.1007/jhep05(2019)007},
}

@article {barkeshli2021classification,
	title={Classification of (2+1)D invertible fermionic topological phases with symmetry},
	author={Maissam Barkeshli and Yu-An Chen and Po-Shen Hsin and Naren Manjunath},
	year={2021},
	eprint={2109.11039},
	archivePrefix={arXiv},
	primaryClass={cond-mat.str-el}
}

@article {freed2021reflection,
	AUTHOR = {Freed, Daniel S. and Hopkins, Michael J.},
	TITLE = {Reflection positivity and invertible topological phases},
	JOURNAL = {Geom. Topol.},
	FJOURNAL = {Geometry \& Topology},
	VOLUME = {25},
	YEAR = {2021},
	NUMBER = {3},
	PAGES = {1165--1330},
	ISSN = {1465-3060},
	MRCLASS = {81T45 (55N22 57R90 81T50 82D03)},
	MRNUMBER = {4268163},
	DOI = {10.2140/gt.2021.25.1165},
	URL = {https://doi.org/10.2140/gt.2021.25.1165},
}

%%% Surgery theory

@book {ranicki1992topological,
	AUTHOR = {Ranicki, A. A.},
	TITLE = {Algebraic {$L$}-theory and topological manifolds},
	SERIES = {Cambridge Tracts in Mathematics},
	VOLUME = {102},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {1992},
	PAGES = {viii+358},
	ISBN = {0-521-42024-5},
	MRCLASS = {57R67 (19L99 19M05 57P10)},
	MRNUMBER = {1211640},
	MRREVIEWER = {Ian Hambleton},
	url = {https://www.maths.ed.ac.uk/~v1ranick/books/topman.pdf}
}


%%% Rational homotopy theory

@article {quillen1969rational,
	AUTHOR = {Quillen, Daniel},
	TITLE = {Rational homotopy theory},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {90},
	YEAR = {1969},
	PAGES = {205--295},
	ISSN = {0003-486X},
	MRCLASS = {55.40},
	MRNUMBER = {258031},
	MRREVIEWER = {J. F. Adams},
	DOI = {10.2307/1970725},
	URL = {https://doi.org/10.2307/1970725},
}

@article {sullivan1977infinitesimal,
	AUTHOR = {Sullivan, Dennis},
	TITLE = {Infinitesimal computations in topology},
	JOURNAL = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
	FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications
	Math\'{e}matiques},
	NUMBER = {47},
	YEAR = {1977},
	PAGES = {269--331 (1978)},
	ISSN = {0073-8301},
	MRCLASS = {57D99 (55D99 58A10)},
	MRNUMBER = {646078},
	MRREVIEWER = {J. F. Adams},
	URL = {http://www.numdam.org/item?id=PMIHES_1977__47__269_0},
}

@article {tradler2007poincare,
	AUTHOR = {Tradler, Thomas and Zeinalian, Mahmoud},
	TITLE = {Infinity structure of {P}oincar\'{e} duality spaces},
	NOTE = {Appendix A by Dennis Sullivan},
	JOURNAL = {Algebr. Geom. Topol.},
	FJOURNAL = {Algebraic \& Geometric Topology},
	VOLUME = {7},
	YEAR = {2007},
	PAGES = {233--260},
	ISSN = {1472-2747},
	MRCLASS = {57P10 (55P35 57P05)},
	MRNUMBER = {2308943},
	MRREVIEWER = {Bernhard A. Hanke},
	DOI = {10.2140/agt.2007.7.233},
	URL = {https://doi.org/10.2140/agt.2007.7.233},
}

@article {sullivan2007appendix,
	AUTHOR = {Sullivan, Dennis},
	TITLE = {Appendix A in `Infinity structure of {P}oincar\'{e} duality spaces'},
	JOURNAL = {Algebr. Geom. Topol.},
	FJOURNAL = {Algebraic \& Geometric Topology},
	VOLUME = {7},
	YEAR = {2007},
	PAGES = {233--260},
	ISSN = {1472-2747},
	MRCLASS = {57P10 (55P35 57P05)},
	MRNUMBER = {2308943},
	MRREVIEWER = {Bernhard A. Hanke},
	DOI = {10.2140/agt.2007.7.233},
	URL = {https://doi.org/10.2140/agt.2007.7.233},
}

@article {getzler2008transfering,
	AUTHOR = {Cheng, Xue Zhi and Getzler, Ezra},
	TITLE = {Transferring homotopy commutative algebraic structures},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {212},
	YEAR = {2008},
	NUMBER = {11},
	PAGES = {2535--2542},
	ISSN = {0022-4049},
	MRCLASS = {18G55},
	MRNUMBER = {2440265},
	MRREVIEWER = {Fernando Muro},
	DOI = {10.1016/j.jpaa.2008.04.002},
	URL = {https://doi.org/10.1016/j.jpaa.2008.04.002},
}

@article {mnev2009notesonbf,
	AUTHOR = {Mn\"{e}v, P.},
	TITLE = {Notes on simplicial {BF} theory},
	JOURNAL = {Mosc. Math. J.},
	FJOURNAL = {Moscow Mathematical Journal},
	VOLUME = {9},
	YEAR = {2009},
	NUMBER = {2},
	PAGES = {371--410, back matter},
	ISSN = {1609-3321},
	MRCLASS = {57R99 (18G55)},
	MRNUMBER = {2568441},
	DOI = {10.17323/1609-4514-2009-9-2-371-410},
	URL = {https://doi.org/10.17323/1609-4514-2009-9-2-371-410},
}

@article {lawrence2014interval,
	AUTHOR = {Lawrence, Ruth and Sullivan, Dennis},
	TITLE = {A formula for topology/deformations and its significance},
	JOURNAL = {Fund. Math.},
	FJOURNAL = {Fundamenta Mathematicae},
	VOLUME = {225},
	YEAR = {2014},
	NUMBER = {1},
	PAGES = {229--242},
	ISSN = {0016-2736},
	MRCLASS = {17B55 (17B01 55U15)},
	MRNUMBER = {3205571},
	MRREVIEWER = {Andrey Yu. Lazarev},
	DOI = {10.4064/fm225-1-10},
	URL = {https://doi.org/10.4064/fm225-1-10},
}

@book {buijs2020liemodels,
	AUTHOR = {Buijs, Urtzi and F\'{e}lix, Yves and Murillo, Aniceto and Tanr\'{e},
	Daniel},
	TITLE = {Lie models in topology},
	SERIES = {Progress in Mathematics},
	VOLUME = {335},
	PUBLISHER = {Birkh\"{a}user Springer, Cham},
	YEAR = {2020},
	PAGES = {ix+299},
	ISBN = {978-3-030-54430-0},
	MRCLASS = {55P62 (17B55 17B70 18N40 18N50 55U35)},
	MRNUMBER = {4212536},
	DOI = {10.1007/978-3-030-54430-0},
	URL = {https://doi.org/10.1007/978-3-030-54430-0},
}

@ARTICLE{vallette2020higherlietheory,
	author = {{Robert-Nicoud}, Daniel and {Vallette}, Bruno},
	title = "{Higher Lie theory}",
	journal = {arXiv e-prints},
	year = {2020},
	archivePrefix = {arXiv},
	eprint = {2010.10485},
}

%%% String topology

@article {tradler2007string,
	AUTHOR = {Tradler, Thomas and Zeinalian, Mahmoud},
	TITLE = {Algebraic string operations},
	JOURNAL = {$K$-Theory},
	FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
	Application, and Influence of $K$-Theory in the Mathematical
	Sciences},
	VOLUME = {38},
	YEAR = {2007},
	NUMBER = {1},
	PAGES = {59--82},
	ISSN = {0920-3036},
	MRCLASS = {57R99 (16E40 57M25)},
	MRNUMBER = {2353864},
	DOI = {10.1007/s10977-007-9005-2},
	URL = {https://doi-org.ezproxy.lib.purdue.edu/10.1007/s10977-007-9005-2},
}

@incollection {sullivan2007presentstate,
	Author = {Sullivan, Dennis},
	Booktitle = {Current developments in mathematics, 2005},
	Date-Added = {2019-11-02 14:29:11 -0400},
	Date-Modified = {2019-11-02 14:29:11 -0400},
	Mrclass = {55P50 (53D40 81T70)},
	Mrnumber = {2459297},
	Mrreviewer = {Hans U. Boden},
	Pages = {41--88},
	Publisher = {Int. Press, Somerville, MA},
	Title = {String topology background and present state},
	Year = {2007},
	url = {https://arxiv.org/abs/0710.4141}
}


%%% Historical references

@incollection {whitney1988history,
	AUTHOR = {Whitney, Hassler},
	TITLE = {Moscow 1935: topology moving toward {A}merica},
	BOOKTITLE = {A century of mathematics in {A}merica, {P}art {I}},
	SERIES = {Hist. Math.},
	VOLUME = {1},
	PAGES = {97--117},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {1988},
	MRCLASS = {01A60 (54-03 55-03)},
	MRNUMBER = {1003166},
	MRREVIEWER = {F. Burton Jones},
	url = {https://www.ams.org/publicoutreach/math-history/hmath1-whitney10.pdf}
}


%%% Other

@article {eilenberg1953acyclic,
	AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
	TITLE = {Acyclic models},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {75},
	YEAR = {1953},
	PAGES = {189--199},
	ISSN = {0002-9327},
	MRCLASS = {56.0X},
	MRNUMBER = {52766},
	MRREVIEWER = {H. Cartan},
	DOI = {10.2307/2372628},
	URL = {https://doi.org/10.2307/2372628},
}

@article {gugenheim1957supercomplexes,
	AUTHOR = {Gugenheim, V. K. A. M.},
	TITLE = {On supercomplexes},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {85},
	YEAR = {1957},
	PAGES = {35--51},
	ISSN = {0002-9947},
	MRCLASS = {55.0X},
	MRNUMBER = {86299},
	MRREVIEWER = {J.-P. Meyer},
	DOI = {10.2307/1992960},
	URL = {https://doi.org/10.2307/1992960},
}

@article {ranicki1990assembly,
	AUTHOR = {Ranicki, Andrew and Weiss, Michael},
	TITLE = {Chain complexes and assembly},
	JOURNAL = {Math. Z.},
	FJOURNAL = {Mathematische Zeitschrift},
	VOLUME = {204},
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@unpublished {BoretskyEurWilliams2022,
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