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arXiv · 1603.01904

Continuum-wise expansiveness for generic diffeomorphisms

Manseob Lee
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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.

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Manseob Lee. 2016-03-07. Continuum-wise expansiveness for generic diffeomorphisms. https://arxiv.org/abs/1603.01904

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