Strongly isomorphic symbolic extensions for expansive topological flows
Dynamical Systems
2024-03-26 v2
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 -smooth.
Keywords
Cite
@article{arxiv.2206.12308,
title = {Strongly isomorphic symbolic extensions for expansive topological flows},
author = {Yonatan Gutman and Ruxi Shi},
journal= {arXiv preprint arXiv:2206.12308},
year = {2024}
}
Comments
32 pages