Subject: question for the mailing-list (a word was missing)
Date: Thu, 6 Nov 2003 17:50:14 +0100
From: Gaucher Philippe <gaucher@pps.jussieu.fr>
Organization: Tarte Flambée
To: Don Davis <dmd1@lehigh.edu>

Sorry : One word disappeared : Here is the question again :

In the model category of topological spaces. I would like to know if the
pushout of a weak homotopy equivalence along a map of the form
(Id,i):YxA-->YxX, where Id is the identity of Y and where i:A-->X is a
cofibration, is still a weak homotopy equivalence or not ? If Y is cofibrant,
then (Id,i):YxA-->YxX is still a cofibration and so the pushout will be a
weak homotopy equivalence. What can it happen if Y is not cofibrant anymore ?

pg.