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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A simple proof of a covering property of locally compact groups
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by P. Milnes and J. V. Bondar
Proc. Amer. Math. Soc. 73 (1979), 117-118
DOI: https://doi.org/10.1090/S0002-9939-1979-0512070-X

Abstract:

We give a simple proof of the following result of Emerson and Greenleaf. Theorem. Let V be a relatively compact subset with nonvoid interior of a locally compact group G. Then there exist a subset $T \subset G$ and a natural number M such that $G = { \cup _{t \in T}}tV$ and at most M of the tV’s, $t \in T$, intersect.
References
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Bibliographic Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 73 (1979), 117-118
  • MSC: Primary 43A07; Secondary 22D05
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0512070-X
  • MathSciNet review: 512070