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Topological entropy of m-fold maps on trees

Jozef Bobok·Zbigniew Nitecki
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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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Jozef Bobok, Zbigniew Nitecki. 2006-09-11. Topological entropy of m-fold maps on trees. https://arxiv.org/abs/math/0609299

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