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