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A simple proof of a covering property of locally compact groups

A simple proof of a covering property of locally compact groups

We give a simple proof of the following result of Emerson and Greenleaf. Theorem. <italic>Let V be a relatively compact subset with nonvoid interior of a locally compact group G. Then there exist a subset</italic> <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T subset-of upper G"> <mml:semantics> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>⊂</mml:mo> <mml:mi>G</mml:mi> </mml:mrow> …