Generalized Besicovitch and Weyl spaces: Topology, patterns, and sliding block codes |
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| Authors: | Silvio Capobianco |
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| Affiliation: | Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia |
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| Abstract: | The Besicovitch and Weyl topologies on the space of configurations take a point of view completely different from the usual product topology; as such, the properties of the former are much different from that of the latter. The one-dimensional case has already been the subject of thorough studies; we extend it to greater dimensions, and also to more general groups. |
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| Keywords: | Pseudo-distance Quotient topology Cellular automaton Sliding block code Orphan pattern |
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