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arXiv · 0707.3499

A comparison theorem for simplicial resolutions

Julia Goedecke·Tim Van der Linden
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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.

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Julia Goedecke, Tim Van der Linden. 2007-10-08. A comparison theorem for simplicial resolutions. https://arxiv.org/abs/0707.3499

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