A fixed point theorem for plane homeomorphisms with the topological shadowing property

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.

arXiv comment9 pages, 1 figure

Cited by in corpus (2)

• Linearization of topologically Anosov homeomorphisms of non compact surfaces
• Topologically Anosov plane homeomorphisms