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Homeomorphisms without the pseudo-orbit tracing property

Published online by Cambridge University Press:  22 January 2016

Nobuo Aoki
Nobuo Aoki*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Fukazawa, Setagaya-ku, Tokyo 158, Japan
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 88 , December 1982 , pp. 155 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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[ 6 ] Morimoto, A., Stochastic stability of group automorphisms, (preprint)Google Scholar
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