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The structure of pointwise recurrent maps having the pseudo orbit tracing property

Published online by Cambridge University Press:  22 January 2016

Jiehua Mai  and
Xiangdong Ye
Jiehua Mai
Affiliation:
Institute of Mathematics, Shantou University, Guangdong, 515063, P. R. China, [email protected]
Xiangdong Ye
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, P. R. China, [email protected]
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Abstract

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We show that a continuous map of a metric space is pointwise recurrent and has the pseudo orbit tracing property if and only if the map is uniformly conjugate to an adding-machine-like map restricted to some invariant subset.

Keywords

54H2037B1037B2037C15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 166 , June 2002 , pp. 83 - 92
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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