Fundamental groups of compact Hausdorff spaces

James E. Keesling; Yuli B. Rudyak

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arXiv · math/0501463

Fundamental groups of compact Hausdorff spaces

James E. Keesling·Yuli B. Rudyak

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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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James E. Keesling, Yuli B. Rudyak. 2005-01-26. Fundamental groups of compact Hausdorff spaces. https://arxiv.org/abs/math/0501463

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