A comparison theorem for simplicial resolutions

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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.
16 pages

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Algebraic Topology, Category Theory, 18G

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http://salesiana.dossiersoluciones.com/handle/123456789/227009

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3499
 http://arxiv.org/abs/0707.3499
 J. Goedecke and T. Van der Linden, A comparison theorem for simplicial resolutions, J. Homotopy and Related Structures 2 (2007), no. 1, 109-126

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arXiv