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Pré-Publication, Document De Travail Année : 2022

STRONGLY ISOMORPHIC SYMBOLIC EXTENSIONS FOR EXPANSIVE TOPOLOGICAL FLOWS

Yonatan Gutman
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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.
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Dates et versions

hal-03907079 , version 1 (19-12-2022)

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  • HAL Id : hal-03907079 , version 1

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Yonatan Gutman, Ruxi Shi. STRONGLY ISOMORPHIC SYMBOLIC EXTENSIONS FOR EXPANSIVE TOPOLOGICAL FLOWS. 2022. ⟨hal-03907079⟩
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