A Note on Measure-Expansive Diffeomorphisms
Dynamical Systems
2014-09-05 v1
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 -interior of the sets of expansive, measure-expansive and continuum-wise expansive -diffeomorphisms coincide.
Cite
@article{arxiv.1409.1418,
title = {A Note on Measure-Expansive Diffeomorphisms},
author = {Alfonso Artigue and Dante Carrasco-Olivera},
journal= {arXiv preprint arXiv:1409.1418},
year = {2014}
}