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

  Published:2005-06-01
 Printed: Jun 2005
  • Takeo Yokonuma
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Abstract

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.
MSC Classifications: 52C23, 37B50 show english descriptions Quasicrystals, aperiodic tilings
Multi-dimensional shifts of finite type, tiling dynamics
52C23 - Quasicrystals, aperiodic tilings
37B50 - Multi-dimensional shifts of finite type, tiling dynamics
 

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