A simple proof of a covering property of locally compact groups

Milnes, P.; Bondar, J. V.

doi:10.1090/S0002-9939-1979-0512070-X

A simple proof of a covering property of locally compact groups
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by P. Milnes and J. V. Bondar PDF

Proc. Amer. Math. Soc. 73 (1979), 117-118 Request permission

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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A survey of Hunt-Stein and related conditions on groups

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