Surface Attractors
Dynamical Systems
2012-08-16 v1
Abstract
Let be a continuous endomorphism of a surface , and an attracting set such that the restriction is a covering map. We show that if is a local homeomorphism in the immediate basin of , then is also a covering of .
Cite
@article{arxiv.1208.3180,
title = {Surface Attractors},
author = {Jorge Iglesias and Aldo Portela and Álvaro Rovella and Juliana Xavier},
journal= {arXiv preprint arXiv:1208.3180},
year = {2012}
}