Maps of the interval with closed periodic set

Nitecki, Zbigniew

doi:10.1090/S0002-9939-1982-0656122-2

Maps of the interval with closed periodic set
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by Zbigniew Nitecki

Proc. Amer. Math. Soc. 85 (1982), 451-456

DOI: https://doi.org/10.1090/S0002-9939-1982-0656122-2

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Abstract:

We show that for any continuous map of the interval whose periodic points form a closed set, every nonwandering point is periodic with least period a power of two.

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