A comparison theorem for simplicial resolutions
Algebraic Topology
2009-04-16 v2 Category Theory
Abstract
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.
Cite
@article{arxiv.0707.3499,
title = {A comparison theorem for simplicial resolutions},
author = {Julia Goedecke and Tim Van der Linden},
journal= {arXiv preprint arXiv:0707.3499},
year = {2009}
}
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16 pages