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

Cousillas, Gonzalo

Resumen:

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.

Detalles Bibliográficos
2019
Topological shadowing property
Fixed point theorem
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54927
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)