Homeomorphisms without the pseudo-orbit tracing property

Author:

Aoki Nobuo

Abstract

Recently, A. Morimoto [5] proved that every isometry of a compact Riemannian manifold of positive dimension has not the pseudo-orbit tracing property, and that if a homeomorphism of a compact metric space has the pseudo-orbit tracing property then Eφ— 0φ(see § 1 for definition). The purpose of this paper is to show that every distal homeomorphism of a compact connected metric space has not the pseudo-orbit tracing property.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. ω-Limit sets for Axiom A diffeomorphisms

2. The splitting of zero-dimensional automorphisms and its application;Aoki;to appear in Collq. Math

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