Snake Lemma in incomplete relative homological categories

Tamar Janelidze

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.

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