Continuum-wise expansiveness for generic diffeomorphisms

preprint2016arXivOpen access

Abstract

Let MM be a closed smooth manifold and let f:M→Mf:M\to M be a diffeomorphism. C1C^1-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism ff such that it is not continuum-wise expansive.

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