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Continuum-wise expansiveness for generic diffeomorphisms

Authors :
Lee, Manseob
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

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1603.01904
Document Type :
Working Paper