On fundamental groups of compact Hausdorff spaces

Keesling, James; Rudyak, Yuli

doi:10.1090/S0002-9939-07-08696-0

On fundamental groups of compact Hausdorff spaces
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by James E. Keesling and Yuli B. Rudyak PDF

Proc. Amer. Math. Soc. 135 (2007), 2629-2631 Request permission

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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