Fundamental groups of compact Hausdorff spaces
James E. Keesling, Yuli B. Rudyak
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.
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