Mathematics > Dynamical Systems
[Submitted on 6 Apr 2018 (v1), last revised 24 Apr 2019 (this version, v3)]
Title:A fixed point theorem for plane homeomorphisms with the topological shadowing property
View PDFAbstract: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.
Submission history
From: Gonzalo Cousillas gcousillas [view email][v1] Fri, 6 Apr 2018 13:02:32 UTC (22 KB)
[v2] Mon, 9 Apr 2018 17:58:17 UTC (22 KB)
[v3] Wed, 24 Apr 2019 20:16:32 UTC (13 KB)
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