Fundamental groups of compact Hausdorff spaces
classification
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compactfundamentalgroupshausdorffgrouprealizedspaceschoice
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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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