Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105 ; Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
Abstract:
We discuss which groups can be realized as the fundamental groups of compact Hausdorff spaces. In particular, we prove that the claim ``every group can be realized as the fundamental group of a compact Hausdorff space' is consistent with the Zermelo-Fraenkel-Choice set theory.