2014/12/03 by Ged Corob Cook, Cook, Ged Corob
Mathematics · #Advanced Topology and Set Theory #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT
paper · pdf · doi:10.48550/arxiv.1412.1321
arxiv created 2014/12/03 · openalex publication_date 2014/12/03 · arxiv updated 2014/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.