English

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 C2C^2-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

R2 v1 2026-06-24T12:03:09.053Z