𝑃̄=𝑅̄ for maps of the interval

Coven, Ethan M.; Hedlund, G. A.

doi:10.1090/S0002-9939-1980-0565362-0

$\bar P=\bar R$ for maps of the interval
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by Ethan M. Coven and G. A. Hedlund

Proc. Amer. Math. Soc. 79 (1980), 316-318

DOI: https://doi.org/10.1090/S0002-9939-1980-0565362-0

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Abstract:

We show that for continuous maps of a compact interval to itself the closure of the set of periodic points coincides with the closure of the set of recurrent points.

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The relation between topological entropy and metric entropy

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