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Consequences of the Pseudo Orbits Tracing Property and Expansiveness

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Jerzy Ombach
Jerzy Ombach
Affiliation:
Instytut Matematyki Uniwersytet Jagiellońskiul Reymonta 4, 30059 Krakow, Poland
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Let f be an expansive homeomorphism with the pseudo orbits tracing property on a compact metric space. There are stable and unstable “manifolds” with similar properties as in the hyperbolic case, and similar behavior near periodic points is observed. Per (f) = Ω(f) = CR(f). Mappings Ω and CR are continuous at f.

MSC classification

Secondary: 54H20: Topological dynamics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 3 , December 1987 , pp. 301 - 313
Copyright
Copyright © Australian Mathematical Society 1987

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