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Strongly Isomorphic Symbolic Extensions for Expansive Topological Flows.
- 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 :
- *ORBITS (Astronomy)
Subjects
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