Characterizing Subgroups of Compact Abelian Groups

2004/12/16 by Dikran Dikranjan, Dikranjan, Dikran, Kenneth Kunen +1 · 1 citation
Mathematics · #54H11 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54H11

paper · pdf · doi:10.48550/arxiv.math/0412327

12 pages

arxiv created 2004/12/16 · arxiv updated 2009/12/01

Abstract

We prove that every countable subgroup of a compact metrizable abelian group has a characterizing set. As an application, we answer several questions on maximally almost periodic (MAP) groups and give a characterization of the class of (necessarily MAP) abelian topological groups whose Bohr topology has countable pseudocharacter.

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