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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topologically complete groups
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by Lawrence G. Brown PDF
Proc. Amer. Math. Soc. 35 (1972), 593-600 Request permission

Abstract:

Topologically complete groups are characterized by the existence of a compact subgroup such that the coset space is topologically complete and metrizable. Coset spaces of topologically complete groups and extensions of one topologically complete group by another are again topologically complete. The open mapping theorem is valid for topologically complete groups.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 593-600
  • MSC: Primary 22A05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0308321-0
  • MathSciNet review: 0308321