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A Note on Measure-Expansive Diffeomorphisms

2014/09/04 by Artigue, Alfonso, Carrasco-Olivera, Dante
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.1418

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 C1-interior of the sets of expansive, measure-expansive and continuum-wise expansive C1-diffeomorphisms coincide.

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