Dense subgroups of compact groups
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- by Howard J. Wilcox PDF
- Proc. Amer. Math. Soc. 28 (1971), 578-580 Request permission
Abstract:
A new short proof is given showing that infinite compact groups contain dense pseudocompact subgroups of small cardinality. Relationships between connectedness and divisibility in pseudocompact groups are given. It is shown that most compact connected Abelian groups contain proper dense connected subgroups.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 578-580
- MSC: Primary 22.10
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280640-5
- MathSciNet review: 0280640