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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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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Additional Information
  • James E. Keesling
  • Affiliation: Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
  • Email: jek@math.ufl.edu
  • Yuli B. Rudyak
  • Affiliation: Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
  • Email: rudyak@math.ufl.edu
  • Received by editor(s): April 19, 2005
  • Received by editor(s) in revised form: March 3, 2006
  • Published electronically: February 2, 2007
  • Additional Notes: The second author was supported by NSF grant 0406311
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2629-2631
  • MSC (2000): Primary 55Q05; Secondary 03E10, 03E55, 54C30, 54D30, 54D60
  • DOI: https://doi.org/10.1090/S0002-9939-07-08696-0
  • MathSciNet review: 2302585