Subject: related question From: Andre Henriques Date: Thu, 5 May 2005 23:11:28 -0400 (EDT) Here's a harder question related to that of Johannes Huebschmann whose answer I'd be interested to know: Let D be the open n-disk and \bar D be the closed n-disk. Let f be a 'nice' map from D to some 'nice' compact space X. Is there a compactification B of D such that f extends to B and such that the pair (B,D) is homeomorphic to the pair (\bar D,D)? Feel free to substitute 'nice' by any notion that you find convenient. Andre Henriques