Subject: Fundamental group again Date: 09 Oct 2003 10:27:28 -0400 From: Mark Hovey Reply-To: mhovey@wesleyan.edu To: dmd1@lehigh.edu Thanks to Haynes Miller and Yuli Rudyak for their comments. Recall that Yuli said the following: given G, find a normal space X with pi_1(X)=G and take the Stone-Cech compactification BX of X. I certainly don't know much about BX, but I don't see why pi_1(BX) has to be equal to pi_1 (X). Does anybody else? Can it really be true that we don't know which groups can occur as fundamental groups of compact Hausdorff spaces? Mark Hovey