Circularly ordered dynamical systems

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 orde...

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Bibliographic Details
Published in:Monatshefte für Mathematik 2018-03, Vol.185 (3), p.415-441
Main Authors: Glasner, Eli, Megrelishvili, Michael
Format: Article
Language:English
Subjects:
Banach spaces
Cascades
Circularity
Dynamical systems
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-017-1134-y