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October  2001, 7(4): 781-786. doi: 10.3934/dcds.2001.7.781

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), Spain

Received  November 2000 Revised  April 2001 Published  July 2001

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 $f$.
Keywords: interval maps, chaos., Topological sequence entropy, $\omega$–limit sets.
Mathematics Subject Classification: 26A18, 37B40, 37E0.
Citation: José S. Cánovas. Topological sequence entropy of $\omega$–limit sets of interval maps. Discrete and Continuous Dynamical Systems, 2001, 7 (4) : 781-786. doi: 10.3934/dcds.2001.7.781
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