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arXiv · 1608.05091

Circularly ordered dynamical systems

Eli Glasner·Michael Megrelishvili
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Abstract

We study topological properties of circularly ordered dynamical systems and prove that every such system is representable on a Rosenthal Banach space, hence, is also tame. We derive some consequences for topological groups. We show that several Sturmian like symbolic $\mathbb{Z}^k$-systems are circularly ordered. Using some old results we characterize circularly ordered minimal cascades.

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Eli Glasner, Michael Megrelishvili. 2016-08-17. Circularly ordered dynamical systems. https://arxiv.org/abs/1608.05091

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