STRONGLY ISOMORPHIC SYMBOLIC EXTENSIONS FOR EXPANSIVE TOPOLOGICAL FLOWS
Résumé
In this paper, we prove that finite-dimensional topological flows without fixed points and having a countable number of periodic orbits, have the small flow boundary property. This enables us to answer positively a question of Bowen and Walters from 1972: Any expansive topological flow has a strongly isomorphic symbolic flow extension, i.e. an extension by a suspension flow over a subshift. Previously Burguet had shown this is true if the flow is assumed to be C 2-smooth.
Mots clés
2020 Mathematics Subject Classification. 37B10 37A35 symbolic extension topological flow strongly isomorphic expansive small flow boundary cross-section
2020 Mathematics Subject Classification. 37B10
37A35 symbolic extension
topological flow
strongly isomorphic
expansive
small flow boundary
cross-section
Domaines
Mathématiques [math]
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