Subject: Date: Mon, 24 Feb 2003 06:51:33 -0800 (PST) From: adel george To: dmd1@lehigh.edu I wish to post the following problem or where can I find the answer. Let H(E^3) be the homeomorphism group of E^3 and let H(E^3,C) be the subspace of homeomorphismsa that are the identity when restricted to C.Is H(E^3) deformable into H(E^3,C) for C a line segment,a circle, two circles with a common diameter?