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Discrete Sets and Associated Dynamical Systems in a Non-Commutative Setting

Published online by Cambridge University Press:  20 November 2018

Takeo Yokonuma*
Affiliation:
Department of Mathematics, Sophia University, 7-1, Kioi-cho, Chiyoda-ku, Tokyo, Japan 102-8554
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Abstract

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We define a uniform structure on the set of discrete sets of a locally compact topological space on which a locally compact topological group acts continuously. Then we investigate the completeness of these uniform spaces and study these spaces by means of topological dynamical systems.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2005