an:05672961
Zbl 1184.18012
Goedecke, Julia; Van der Linden, Tim
A comparison theorem for simplicial resolutions
EN
J. Homotopy Relat. Struct. 2, No. 1, 109-126 (2007).
2193-8407 1512-2891
2007
j
18G50
comonadic homology; simplicial homotopy; resolution; semi-abelian category
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.