Topology Proceedings
Document # baak-32
Electronic Version 24 Summer (1999) |
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Topological entropy of a class of transitive maps of a tree
Yong Su and Xiangdong Ye
Let T be a tree, x \in T and ValT(x) be the valence of x. For a continuous map f of T, h(f) is the entropy of f. We study the class of transitive maps f of T with f-1(x) = {x}. We prove that h(f) > 1 / ValT(x) log3, and show that there exist a sequence of transitive maps fn of T with fn-1(x) = {x} and
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Date published electronically: March 5, 2001.