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Continuum-wise expansiveness for generic diffeomorphisms
- Publication Year :
- 2016
-
Abstract
- Let $M$ be a closed smooth manifold and let $f:M\to M$ be a diffeomorphism. $C^1$-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism $f$ such that it is not continuum-wise expansive.<br />Comment: 10pages
- Subjects :
- Mathematics - Dynamical Systems
37D30, 34D10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1603.01904
- Document Type :
- Working Paper