Finite rank Bratteli--Vershik homeomorphisms are expansive
Finite rank Bratteli--Vershik homeomorphisms are expansive
复制标题
有限秩 Bratteli--Vershik 同胚是可扩展的
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
T. Shimomura
中科院分区：
文献类型：
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作者：
T. Shimomura
Downarowicz和Maass（2008）证明了每个具有有限拓扑秩$K > 1$的Cantor极小同胚是可扩的。Bezuglyi，Kwiatkowski和Medynets（2009）将结果扩展到非最小非周期情况。本文证明了有限秩零维系统是可扩的或具有无限里程计系统，这是上述两个结果的推广。然而，这些方法遵循类似的方法。
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.