Snake Lemma in incomplete relative homological categories
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 76-91
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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.
Classification :
18G50, 18G25, 18A20, 18B10
Keywords: incomplete relative homological category, homological category, normal epimorphism, snake lemma
Keywords: incomplete relative homological category, homological category, normal epimorphism, snake lemma
Tamar Janelidze. Snake Lemma in incomplete relative homological categories. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 76-91. http://geodesic.mathdoc.fr/item/TAC_2010_23_a3/
@article{TAC_2010_23_a3,
author = {Tamar Janelidze},
title = {Snake {Lemma} in incomplete relative homological categories},
journal = {Theory and applications of categories},
pages = {76--91},
year = {2010},
volume = {23},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2010_23_a3/}
}