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Discrete Sets and Associated Dynamical\\ Systems in a Non-Commutative Setting |
Canad. Math. Bull. 48(2005), 302-316
Published:2005-06-01
Printed: Jun 2005
Printed: Jun 2005
- Takeo Yokonuma
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 - Quasicrystals, aperiodic tilings 37B50 - Multi-dimensional shifts of finite type, tiling dynamics |