Subject: question for list Date: Fri, 12 Oct 2001 21:30:02 -0400 From: Tom Goodwillie To: Don Davis The following question came up in my topology class: If two retractions from X to A are homotopic, are they necessarily homotopic through retractions? The answer is "yes" if the pair (X,A) has the homotopy extension property, and I'm guessing that it's "no" in general, but I haven't come up with a counterexample. Tom Goodwillie