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math.KT2015★ 9 cited
The Yoneda isomorphism commutes with homology
George Peschke, Tim Van der Linden
We show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor derivation. Then we extend…
math.KT2006★ 8 cited
Simplicial homotopy in semi-abelian categories
Tim Van der Linden
We study Quillen's model category structure for homotopy of simplicial objects in the context of Janelidze, Marki and Tholen's semi-abelian categories. This model structure exists…