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Strongly Isomorphic Symbolic Extensions for Expansive Topological Flows.

Authors :
Gutman, Yonatan
Shi, Ruxi
Source :
IMRN: International Mathematics Research Notices. Feb2024, Vol. 2024 Issue 3, p2382-2419. 38p.
Publication Year :
2024

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, that is, 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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ORBITS (Astronomy)

Details

Language :
English
ISSN :
10737928
Volume :
2024
Issue :
3
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
175718011
Full Text :
https://doi.org/10.1093/imrn/rnad160