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arXiv 2014-12-03 0 views

A Note on Homology over Functor Categories

Cook, Ged Corob

Original · EN

It is known that, for C an abelian category and I small, the functor category Cⁱ 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 Cⁱ behaves as one would expect.

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