Subject: Question From: Johannes Huebschmann Date: Wed, 4 May 2005 18:38:38 +0200 (CEST) To: dmd1@lehigh.edu CC: Johannes Huebschmann , Matthias.Schmidt@itp.uni-leipzig.de Let f be a surjective continuous map from a closed n-disk onto a space X whose restriction to the interior of the disk is a homeomorphism onto its image and which has the property that the pre-image of any point of X is a contractible space. Does this imply that f is a homeomorphism? Regards Johannes Huebschmann HUEBSCHMANN Johannes Professeur de Mathematiques USTL, UFR de Mathematiques UMR 8524 Laboratoire Paul Painleve F-59 655 Villeneuve d'Ascq Cedex France http://math.univ-lille1.fr/~huebschm TEL. (33) 3 20 43 41 97 (33) 3 20 43 42 33 (secretariat) (33) 3 20 43 48 50 (secretariat) Fax (33) 3 20 43 43 02 e-mail Johannes.Huebschmann@math.univ-lille1.fr