A comparison theorem for simplicial resolutions

Details A comparison theorem for simplicial resolutions A comparison theorem for simplicial resolutions

2007-07-24

arxiv.org/abs/0707.3499v2

J. Goedecke and T. Van der Linden, A comparison theorem for simplicial resolutions, J. Homotopy and Related Structures 2 (2007

Mathematics

Algebraic Topology

16 pages

Scientific paper

It is well known that Barr and Beck's definition of comonadic homology makes sense also with a functor of coefficients taking values in a semi-abelian category instead of an abelian one. The question arises whether such a homology theory has the same convenient properties as in the abelian case. Here we focus on independence of the chosen comonad: conditions for homology to depend on the induced class of projectives only.

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