Subject: question about bisimplicial sets
Date: Mon, 12 Jul 2004 11:20:20 +0200 (CEST)
From: Philippe Gaucher <Philippe.Gaucher@pps.jussieu.fr>
To: Don Davis <dmd1@lehigh.edu>

Question for the mailing-list:

I am not very familiar with the homotopy theory of bisimplicial sets. Here
is my question.

I have a morphism of bisimplicial sets K-->L such that for any n,
K_{n,*}-->L_{n,*} is a fibration. I have another simplicial set
C. And I want to consider the morphism of simplicial sets M-->N induced
by K-->L and where M_n=Mor(C,K_{n,*}) and N_n=Mor(C,L_{n,*}).
Is there any possibility for  M-->N to be a fibration ? Thanks in advance. pg.