The purpose of this paper is to prove a new, incomplete-relative, version of Non-abelian Snake Lemma, where "relative" refers to a distinguished class of normal epimorphisms in the ground category, and "incomplete" refers to omitting all completeness/cocompleteness assumptions not involving that class.
Keywords: incomplete relative homological category, homological category, normal epimorphism, snake lemma
2000 MSC: 18G50, 18G25, 18A20, 18B10
Theory and Applications of Categories,
Vol. 23, 2010,
No. 4, pp 76-91.
http://www.tac.mta.ca/tac/volumes/23/4/23-04.dvi
http://www.tac.mta.ca/tac/volumes/23/4/23-04.ps
http://www.tac.mta.ca/tac/volumes/23/4/23-04.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/23/4/23-04.dvi
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/23/4/23-04.ps