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Topological entropy of m-fold maps on trees

Jozef Bobok, Zbigniew Nitecki

math.DSarXiv:math/0609299

Abstract

We establish the analogue for maps on trees of the result established in two papers by the first author for interval maps, that a continuous self- map for which all but countably many points have at least m preimages (and none have less than two) has topological entropy bounded below by log m.

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