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References (9)
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A. Avila, Alejandro Kocsard (2010)
Cohomological equations and invariant distributions for minimal circle diffeomorphismsarXiv: Dynamical Systems
- Publisher
- Springer Journals
- Copyright
- Copyright © 2013 by Sociedade Brasileira de Matemática
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-013-0023-9
- Publisher site
- See Article on Publisher Site
Abstract
After Katok [3], a homeomorphism f: M → M is said to be cohomologically C 0-stablewhen its space of real C 0-coboundaries is closed in C 0 (M). In this short notewe completely classify cohomologically C 0-stable homeomorphisms, showing that periodic homeomorphisms are the only ones.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Oct 27, 2013