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arXiv · 1409.1418

A Note on Measure-Expansive Diffeomorphisms

Alfonso Artigue·Dante Carrasco-Olivera
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Abstract

In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the $C^1$-interior of the sets of expansive, measure-expansive and continuum-wise expansive $C^1$-diffeomorphisms coincide.

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Alfonso Artigue, Dante Carrasco-Olivera. 2014-09-04. A Note on Measure-Expansive Diffeomorphisms. https://arxiv.org/abs/1409.1418

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