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On the density of minimal free subflows of general symbolic flows.

This paper studies symbolic dynamical systems {0, 1}G, where G is a countably infinite group, {0, 1}G has the product topology, and G acts on {0, 1}G by shifts. It is proven that for every countably infinite group G the union of the minimal free subflows of {0, 1}G is dense. In fact, a stronger result is obtained which states that if G is a countably infinite group and U is an open subset of {0, 1}G, then there is a collection of size continuum consisting of pairwise disjoint minimal free subflows intersecting U.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc11009
Date08 1900
CreatorsSeward, Brandon Michael
ContributorsGao, Su, Brozovic, Douglas, Sari, Bunyamin
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Copyright, Seward, Brandon Michael, Copyright is held by the author, unless otherwise noted. All rights reserved.

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