New cw-expansive homeomorphisms of surfaces
Dynamical Systems
2019-11-06 v2
Abstract
In this article we characterize monotone extensions of cw-expansive homeomorphisms of compact metric spaces. We study the topology of its quotient space in the case of a compact surface. These results are applied to prove that there are cw-expansive homeomorphisms of compact surfaces with infinitely many fixed points and empty wandering set. The examples are quotients of topological perturbations of pseudo-Anosov diffeomorphisms. We also show that there is a cw-expansive homeomorphism with the shadowing property of the 2-sphere.
Keywords
Cite
@article{arxiv.1706.08011,
title = {New cw-expansive homeomorphisms of surfaces},
author = {Mauricio Achigar and Alfonso Artigue and José Vieitez},
journal= {arXiv preprint arXiv:1706.08011},
year = {2019}
}
Comments
22 pages, 2 figures