Characterizing Subgroups of Compact Abelian Groups

Details Characterizing Subgroups of Compact Abelian Groups Characterizing Subgroups of Compact Abelian Groups

2004-12-16

arxiv.org/abs/math/0412327v1

Mathematics

General Topology

12 pages

Scientific paper

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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