R. C. Hooper
Abstract
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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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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.
Key concepts: Metrization theorem, Abelian group, Locally compact space, Counterexample, Topological group, Mathematics, Locally compact group, Pure mathematics