Document Type
Topology + Dynamics and Continuum Theory
Publication Date
6-2017
Publication Source
32nd Summer Conference on Topology and Its Applications
Abstract
Let f: D → D be a dendrite homeomorphism. Let C(D) denote the hyperspace of all nonempty connected compact subsets of D endowed with the Hausdorff metric. Let C(f):C(D) → C(D) be the induced continuum homeomorphism. In this talk we sketch the proof of the following result: If there exists a nonrecurrent branch point then the topological entropy of C(f) is ∞.
Copyright
Copyright © 2017, the Authors
eCommons Citation
Bohorquez, Jennyffer and Arbieto, Alexander, "Entropy of Induced Continuum Dendrite Homeomorphisms" (2017). Summer Conference on Topology and Its Applications. 21.
https://ecommons.udayton.edu/topology_conf/21
Comments
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The title on the slides, "Topological Entropy of Induced Continuum Dendrite Homeomorphisms," differs from the title in the conference program.