Summer Conference on Topology and Its Applications

Document Type

Topology + Dynamics and Continuum Theory

Publication Date


Publication Source

32nd Summer Conference on Topology and Its Applications


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 ∞.


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The title on the slides, "Topological Entropy of Induced Continuum Dendrite Homeomorphisms," differs from the title in the conference program.