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Density of periodic orbits in \(\omega \)-limit sets with the Hausdorff metric. (English) Zbl 0962.54031

Summary: We prove that if \(f\) is a continuous interval map such that all wandering intervals converge to periodic orbits, then the family of periodic orbits is dense in \(\omega \)-limit sets with Hausdorff metric.

MSC:

54H20 Topological dynamics (MSC2010)
37B99 Topological dynamics