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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On fundamental groups of compact Hausdorff spaces


Authors: James E. Keesling and Yuli B. Rudyak
Journal: Proc. Amer. Math. Soc. 135 (2007), 2629-2631
MSC (2000): Primary 55Q05; Secondary 03E10, 03E55, 54C30, 54D30, 54D60
Published electronically: February 2, 2007
MathSciNet review: 2302585
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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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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

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08696-0
PII: S 0002-9939(07)08696-0
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
Article copyright: © Copyright 2007 American Mathematical Society