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arXiv · 2206.12308

Strongly isomorphic symbolic extensions for expansive topological flows

Yonatan Gutman·Ruxi Shi
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Abstract

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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Yonatan Gutman, Ruxi Shi. 2022-06-24. Strongly isomorphic symbolic extensions for expansive topological flows. https://arxiv.org/abs/2206.12308

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