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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc11009 |
| Date | 08 1900 |
| Creators | Seward, Brandon Michael |
| Contributors | Gao, Su, Brozovic, Douglas, Sari, Bunyamin |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Seward, Brandon Michael, Copyright is held by the author, unless otherwise noted. All rights reserved. |
Page generated in 0.0019 seconds