A fixed point theorem for plane homeomorphisms with the topological shadowing property
Dynamical Systems
2019-04-26 v3
Abstract
In this paper we show that every homeomorphism of the plane with the topological shadowing property has a fixed point. Also, we show that a linear isomorphism of an Euclidean space has the topological shadowing property if and only if the origin is an attractor or a repeller.
Cite
@article{arxiv.1804.02244,
title = {A fixed point theorem for plane homeomorphisms with the topological shadowing property},
author = {Gonzalo Cousillas},
journal= {arXiv preprint arXiv:1804.02244},
year = {2019}
}
Comments
9 pages, 1 figure