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A characterization of the topological group of real numbers
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that a non-discrete locally compact Hausdorff group has each of its proper closed subgroups finite (respectively, discrete) if and only if it is topologically isomorphic to the circle group (respectively, the circle group or the group of real numbers).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 34 , Issue 3 , December 1986 , pp. 473 - 475
- Copyright
- Copyright © Australian Mathematical Society 1986
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