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A Comparison Theorem for Simplicial Resolutions

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Julia Goedecke and Tim Van der Linden

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.

Journal of Homotopy and Related Structures, Vol. 2(2007), No. 1, pp. 109-126