J Austral Math Soc Ser A 43 pp301--313, 1987.

Consequences of the Pseudo Orbits Tracing Property and Expansiveness

Jerzy Ombach

(Received 17 April 1985; revised 15 December 1985)

Abstract

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 behaviour near periodic points is observed.

Per

(f) = W(f) = CR(f)

. Mappings W and CR are continuous at f.

1980 AMS Subject Classification: primary 58F15; secondary 54H20

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Authors

Jerzy Ombach: Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30059 Kraków, Poland.

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Last Modified: Wed Feb 26 16:48:07 2003