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