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Date: Fri, 26 Jan 2001 14:18:42 EST
From: dmd1@Lehigh.EDU (DON DAVIS)
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Subject: example sought
To: Distribution.List@lehigh.edu (toplist)
Status: RO
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This posting is by your moderator, Don Davis.
For my beginning algebraic topology course I
would like a nice example of a closed subspace
A of a topological space X such that A is
contractible but X and X/A do not have the same
homotopy type.  The purpose of such an example
would be to highlight the significance of the
result that says that such a thing cannot happen
if A is a subcomplex of a CW complex X.

Don Davis
dmd1@lehigh.edu