Abstract
We give a characterization of the set of nonwandering points of a continuous map \(f\) of the interval with zero topological entropy, attracted to a single (infinite) minimal set \(Q\). We show that such a map \(f\) can have a unique infinite minimal set \(Q\) and an infinite set \(B\subset\Omega (f)\setminus\omega (f)\) (of nonwandering points that are not \(\omega\)-limit points) attracted to \(Q\) and such that \(B\) has infinite intersections with infinitely many disjoint orbits of \(f\).
Citation
F. Balibrea. J. Smítal. "A characterization of the set Ω(f) \ ω(f) for continuous maps of the interval with zero topological entropy." Real Anal. Exchange 21 (2) 622 - 628, 1995/1996.
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