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A comparison theorem for simplicial resolutions. (English) Zbl 1184.18012
Summary: 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.
MSC:
18G50 Nonabelian homological algebra (category-theoretic aspects)
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