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arXiv · 1412.1321

A Note on Homology over Functor Categories

Ged Corob Cook
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Abstract

It is known that, for $C$ an abelian category and $I$ small, the functor category $C^I$ is again abelian; thus we can do homology in such categories, and examine how it relates to homology in $C$ itself. However, there does not seem to be any good reference collecting these ideas together. This article seeks to fill the gap by showing that homology in $C^I$ behaves as one would expect.

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Ged Corob Cook. 2014-12-03. A Note on Homology over Functor Categories. https://arxiv.org/abs/1412.1321

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