A Note on Homology over Functor Categories
Category Theory
2014-12-04 v1
Abstract
It is known that, for an abelian category and small, the functor category is again abelian; thus we can do homology in such categories, and examine how it relates to homology in 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 behaves as one would expect.
Cite
@article{arxiv.1412.1321,
title = {A Note on Homology over Functor Categories},
author = {Ged Corob Cook},
journal= {arXiv preprint arXiv:1412.1321},
year = {2014}
}