Minimality and Gluing Orbit Property

Peng Sun

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arXiv · 1808.00985

Minimality and Gluing Orbit Property

Peng Sun

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Abstract

We show that a topological dynamical system is either minimal or have positive topological entropy. Moreover, for equicontinuous systems, we show that topological transitivity, minimality and orbit gluing property are equivalent. These facts reflect the similarity and dissimilarity of gluing orbit property with specification property.

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Peng Sun. 2018-08-02. Minimality and Gluing Orbit Property. https://arxiv.org/abs/1808.00985

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