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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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The number of $T_ 2$-precompact group topologies on free groups
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by Dieter Remus PDF
Proc. Amer. Math. Soc. 95 (1985), 315-319 Request permission

Abstract:

It is shown that every free group $F$ admits exactly ${2^{{2^{|F|}}}}{T_{{2^ - }}}$ precompact group topologies. Those topologies can even be chosen to be finer than the finite-index topology on $F$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 315-319
  • MSC: Primary 22A99; Secondary 20E05, 54A25, 54H99
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0801346-7
  • MathSciNet review: 801346