A Note on Measure-Expansive Diffeomorphisms

By A. Artigue, D. Carrasco-Olivera. 2014

48 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c714305220d781ebc825a4f47e463eef05c51aed