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
@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/}
}
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/