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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Locally compact subgroups of metrizable topological abelian groups

Author: R. C. Hooper
Journal: Proc. Amer. Math. Soc. 57 (1976), 159-164
MSC: Primary 22A05
MathSciNet review: 0409710
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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.

References [Enhancements On Off] (What's this?)

  • [1] S. Rolewicz, Some remarks on monothetic groups, Colloq. Math. 13 (1964), 27-28. MR 30 #2102. MR 0171876 (30:2102)
  • [2] I. Singer, Bases in Banach spaces. I, Die Grundlehren der math. Wissenschaften, Band 154, Springer-Verlag, New York and Berlin, 1970. MR 45 #7451. MR 0298399 (45:7451)

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Keywords: Topological group, locally compact subgroup, closed subgroups of Banach spaces
Article copyright: © Copyright 1976 American Mathematical Society

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