Hyper-expansive Homeomorphisms
Dynamical Systems
2013-09-05 v1
Abstract
A homeomorphism on a compact metric space is said hyper-expansive if every pair of different compact sets are separated by the homeomorphism in the Hausdorff metric. We characterize such dynamics as those with a finite number of orbits and whose non-wandering set is the union of the repelling and the attracting periodic orbits. We also give a characterization of compact metric spaces admiting hyper-expansive homeomorphisms.
Cite
@article{arxiv.1309.1030,
title = {Hyper-expansive Homeomorphisms},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1309.1030},
year = {2013}
}