Preserving homology

Michael Barr

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).

Keywords: preservation of homology

2000 MSC: 18E10, 18A22

Theory and Applications of Categories, Vol. 16, 2006, No. 7, pp 132-143.

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