Circularly ordered dynamical systems

Eli Glasner; Michael Megrelishvili

doi:10.1007/s00605-017-1134-y

Circularly ordered dynamical systems

Eli Glasner, Michael Megrelishvili

Department of Mathematics

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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 Z^k-systems are circularly ordered. Using some old results we characterize circularly ordered minimal cascades.

Original language	English
Pages (from-to)	415-441
Number of pages	27
Journal	Monatshefte fur Mathematik
Volume	185
Issue number	3
DOIs	https://doi.org/10.1007/s00605-017-1134-y
State	Published - 1 Mar 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer-Verlag GmbH Austria, part of Springer Nature.

Funding

This research was supported by a grant of the Israel Science Foundation (ISF 668/13).

Funders	Funder number
Israel Science Foundation	ISF 668/13

Keywords

Circular order
Enveloping semigroup
Linear order
Rosenthal space
Sturmian system
Subshift
Symbolic system
Tame dynamical system

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10.1007/s00605-017-1134-y

Cite this

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KW - Linear order

KW - Rosenthal space

KW - Sturmian system

KW - Subshift

KW - Symbolic system

KW - Tame dynamical system

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Circularly ordered dynamical systems

Abstract

Bibliographical note

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Keywords

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