Resumen de Topological entropy of $m$-fold maps on trees

Jozef Bobok, Zbigniew Nitecki

• 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 $\log m$.