Topological entropy of $m$-fold maps on trees

• Autores: Jozef Bobok, Zbigniew Nitecki
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 3, 2007, págs. 671-701
• Idioma: inglés
• DOI: 10.1017/s0143385706000861
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• Resumen

  • 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 $\log m$.