Proceedings of the American Mathematical Society

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The number of $ T\sb 2$-precompact group topologies on free groups


Author: Dieter Remus
Journal: Proc. Amer. Math. Soc. 95 (1985), 315-319
MSC: Primary 22A99; Secondary 20E05, 54A25, 54H99
MathSciNet review: 801346
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Abstract: It is shown that every free group $ F$ admits exactly $ {2^{{2^{\vert F\vert}}}}{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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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0801346-7
Article copyright: © Copyright 1985 American Mathematical Society