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Topological entropy of $m$-fold maps on trees

  • JOZEF BOBOK (a1) and ZBIGNIEW NITECKI (a2)

Abstract

We establish the analogue for maps on trees of the result established by Bobok (Studia Math.152 (2002), 249–261 and Studia Math.166 (2005), 11–27) 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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Topological entropy of $m$-fold maps on trees

  • JOZEF BOBOK (a1) and ZBIGNIEW NITECKI (a2)

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