Subject: Re: three responses
From: "Elisenda Feliu"
Date: Mon, 20 Aug 2007 15:11:23 +0200
I have a question for the list.
Does anyone know a reference of the following fact?
"Let A, B be two chain complexes and f:A -> B a chain morphism.
Let K(A), K(B) be the simplicial groups obtained by the Dold-Kan functor
and
K(f): K(A) -> K(B) the induced morphism. Let HoFib(f) denote the homotopy
fiber of the topological realization of K(f).
Then, there is an isomorphism between the homotopy groups of HoFib(f) and
the homology groups of the cone of f shifted by 1."
Thanks,
Elisenda Feliu