N-expansive homeomorphisms on surfaces
Dynamical Systems
2013-11-22 v1
Abstract
We exploit the techniques developed in [Le] to study N-expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M without wandering points then f is expansive. This condition on the wandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on the bitorus with wandering points that is not expansive.
Cite
@article{arxiv.1311.5505,
title = {N-expansive homeomorphisms on surfaces},
author = {Alfonso Artigue and Maria José Pacifico and José Vieitez},
journal= {arXiv preprint arXiv:1311.5505},
year = {2013}
}