Preserving homology
Theory and applications of categories, Tome 16 (2006), pp. 132-143
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We raise the question of saying what it means for a functor between abelian categories to preserve homology. We give a kind of answer and explore the reasons it is unsatisfactory in general (although fine for left or right exact functors).
Classification :
18E10, 18A22
Keywords: preservation of homology
Keywords: preservation of homology
@article{TAC_2006_16_a6,
author = {Michael Barr},
title = {Preserving homology},
journal = {Theory and applications of categories},
pages = {132--143},
year = {2006},
volume = {16},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a6/}
}
Michael Barr. Preserving homology. Theory and applications of categories, Tome 16 (2006), pp. 132-143. http://geodesic.mathdoc.fr/item/TAC_2006_16_a6/