Fundamental groups of compact Hausdorff spaces

Details Fundamental groups of compact Hausdorff spaces Fundamental groups of compact Hausdorff spaces

2005-01-26

arxiv.org/abs/math/0501463v1

Mathematics

Algebraic Topology

Latex, 2 pages

Scientific paper

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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