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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
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.

Keywords

52C2337B50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 2 , 01 June 2005 , pp. 302 - 316
Copyright
Copyright © Canadian Mathematical Society 2005

References

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