Algebraic and Geometric Topology 2 (2002), paper no. 44, pages 1147-1154.

Equivalences to the triangulation conjecture

Duane Randall

Abstract. We utilize the obstruction theory of Galewski-Matumoto-Stern to derive equivalent formulations of the Triangulation Conjecture. For example, every closed topological manifold M^n with n > 4 can be simplicially triangulated if and only if the two distinct combinatorial triangulations of RP^5 are simplicially concordant.

Keywords. Triangulation, Kirby-Siebenmann class, Bockstein operator, topological manifold

AMS subject classification. Primary: 57N16, 55S35. Secondary: 57Q15.

DOI: 10.2140/agt.2002.2.1147

E-print: arXiv:math.GT/0212299

Submitted: 19 July 2002. Accepted: 5 December 2002. Published: 19 December 2002.

Notes on file formats

Duane Randall
Department of Mathematics and Computer Science
Loyola University, New Orleans, LA 70118, USA
Email: randall@loyno.edu

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