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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A simple proof of a covering property of locally compact groups


Authors: P. Milnes and J. V. Bondar
Journal: Proc. Amer. Math. Soc. 73 (1979), 117-118
MSC: Primary 43A07; Secondary 22D05
MathSciNet review: 512070
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0512070-X
PII: S 0002-9939(1979)0512070-X
Keywords: Locally compact group, amenability, covering property
Article copyright: © Copyright 1979 American Mathematical Society