Extensions of Expansive Dynamical Systems
Dynamical Systems
2020-11-17 v2
Abstract
We characterize and describe the extensions of expansive and Anosov homeomorphisms on compact spaces. As an application we obtain a stability result for extensions of Anosov systems, and show a construction that embeds any expansive system inside an expansive system having the shadowing property for the pseudo orbits of the original space.
Cite
@article{arxiv.1909.09911,
title = {Extensions of Expansive Dynamical Systems},
author = {Mauricio Achigar},
journal= {arXiv preprint arXiv:1909.09911},
year = {2020}
}