A classification of minimal sets for surface homeomorphisms
Dynamical Systems
2012-08-21 v3
Abstract
We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given by F. Kwakkel, T.J\"ager and A. Passeggi in the torus. The given classification is studied in the non-wandering setting and in light of the Nielsen-Thurston Theory.
Cite
@article{arxiv.1208.1650,
title = {A classification of minimal sets for surface homeomorphisms},
author = {Alejandro Passeggi and Juliana Xavier},
journal= {arXiv preprint arXiv:1208.1650},
year = {2012}
}