Structure of bounded topological‐sequence‐entropy minimal systems
Structure of bounded topological‐sequence‐entropy minimal systems
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DOI：
10.1112/jlms/jdm080
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发表时间：
2007-12
期刊：
影响因子：
--
通讯作者：
A. Maass;S. Shao
中科院分区：
文献类型：
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作者：
A. Maass;S. Shao
本文证明了具有有界拓扑序列熵的极小拓扑动力系统（X， T）具有如下结构。这里π是（X， T）的最大等连续因子，σ ‘和τ ’是近端扩展，π '是有限对1的等连续扩展。为了证明这一结果，我们考虑了序列熵元组，并给出了它们与区域近端元组的完全关系。
In this article we prove that a minimal topological dynamical system (X, T) with bounded topological sequence entropy has the following structure. X⟵σ′X′↓π↓π′Xeq⟵τ′Y′ Here π is the maximal equicontinuous factor of (X, T), σ′ and τ′ are proximal extensions and π′ is a finite‐to‐one equicontinuous extension. In order to prove this result we consider sequence entropy tuples and give their complete relation with regionally proximal tuples.