Topological sequence entropy of $\omega$–limit sets of interval maps

José S. Cánovas

doi:10.3934/dcds.2001.7.781

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2001, Volume 7, Issue 4: 781-786. Doi: 10.3934/dcds.2001.7.781

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Topological sequence entropy of $\omega$–limit sets of interval maps

José S. Cánovas^1,

1.
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena (Murcia)

Received: October 31, 2000

Revised: March 31, 2001

Published: September 2001

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Abstract

Let $S$ be an increasing sequence of positive integers and let $\omega$ be an $\omega$–limit set of a continuous interval map $f$. We prove that $h_S(f|\omega) = 0$ if $h(f) = 0$, where $h_S(f)$ denotes the topological sequence entropy of $f$.

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Mathematics Subject Classification: 26A18, 37B40, 37E05.

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