Characterizing Subgroups of Compact Abelian Groups
General Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0412327,
title = {Characterizing Subgroups of Compact Abelian Groups},
author = {Dikran Dikranjan and Kenneth Kunen},
journal= {arXiv preprint arXiv:math/0412327},
year = {2007}
}
Comments
12 pages