Dynamics of covering maps of the annulus I: semiconjugacies
Dynamical Systems
2016-03-01 v3
Abstract
It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the dynamics. In particular, we address the problem of the classification up to conjugacy. However, there are examples which are not semiconjugate to a map of the circle, and this opens new questions.
Keywords
Cite
@article{arxiv.1402.2317,
title = {Dynamics of covering maps of the annulus I: semiconjugacies},
author = {Jorge Iglesias and Aldo Portela and Alvaro Rovella and Juliana Xavier},
journal= {arXiv preprint arXiv:1402.2317},
year = {2016}
}
Comments
Improved version after various referees. To appear in Math Z