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

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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.

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Seward, Brandon Michael August 2009.

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  • Seward, Brandon Michael

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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.

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  • August 2009

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  • Nov. 19, 2009, 8:18 p.m.

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  • April 1, 2010, 2:51 p.m.

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Seward, Brandon Michael. On the density of minimal free subflows of general symbolic flows., thesis, August 2009; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc11009/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .