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arXiv · 1804.02244

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

Gonzalo Cousillas
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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.

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Gonzalo Cousillas. 2018-04-06. A fixed point theorem for plane homeomorphisms with the topological shadowing property. https://doi.org/10.13140/rg.2.2.20359.09125

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