Mappings of the interval with finitely many periodic points have zero entropy

Block, Louis

doi:10.1090/S0002-9939-1977-0467841-3

Mappings of the interval with finitely many periodic points have zero entropy
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Proc. Amer. Math. Soc. 67 (1977), 357-360 Request permission

Abstract:

It is shown that if f is a continuous map of a closed interval into itself, and f has finitely many periodic points, then the topological entropy of f is zero.

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