Dense subgroups of compact groups

Wilcox, Howard J.

doi:10.1090/S0002-9939-1971-0280640-5

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.

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