Fundamental groups of compact Hausdorff spaces
Algebraic Topology
2007-05-23 v1 General Topology
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.
Keywords
Cite
@article{arxiv.math/0501463,
title = {Fundamental groups of compact Hausdorff spaces},
author = {James E. Keesling and Yuli B. Rudyak},
journal= {arXiv preprint arXiv:math/0501463},
year = {2007}
}
Comments
Latex, 2 pages