Finite-rank Bratteli–Vershik homeomorphisms are expansive
Copyright policy )Finite-rank Bratteli–Vershik homeomorphisms are expansive
Downarowicz and Maass (2008) have shown that every Cantor minimal homeomorphism with finite topological rank $K > 1$ is expansive. Bezuglyi, Kwiatkowski, and Medynets (2009) extended the result to non-minimal aperiodic cases. In this paper, we show that all finite-rank zero-dimensional systems are expansive or have infinite odometer systems; this is an extension of the two aforementioned results. Nevertheless, the methods follow similar approaches.
arXiv admin note: text overlap with arXiv:1506.07666
- Nagoya University Japan
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Bratteli diagram, Cantor minimal homeomorphism, FOS: Mathematics, Symbolic dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Topological dynamics, 37B05, 37B10
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Bratteli diagram, Cantor minimal homeomorphism, FOS: Mathematics, Symbolic dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Topological dynamics, 37B05, 37B10
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