Characterizing Subgroups of Compact Abelian Groups

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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.
12 pages

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General Topology, 54H11

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http://salesiana.dossiersoluciones.com/handle/123456789/73605

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412327
 http://arxiv.org/abs/math/0412327

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arXiv