Locally compact subgroups of metrizable topological abelian groups
Abstract: This paper examines the question of existence of locally compact subgroups of topological abelian groups. A counterexample is given and it is shown in a certain setting that groups have a nontrivial locally compact subgroup.
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Keywords: Topological group, locally compact subgroup, closed subgroups of Banach spaces
Article copyright: © Copyright 1976 American Mathematical Society