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Dendrites with a closed set of end points are C2(X)-determined
by
María de Jesús López
B. Universidad Autónoma de Puebla
Coauthors: D. Herrera, A. Illanes and F. Macías
A continuum is a nonempty compact, connected metric space. A dendrite is a locally connected continuum which contains no simple closed curves. We will denote the family of dendrites with a closed set of end points by D. Given a continuum X, C2(X) denotes the hyperspace of X of nonempty closed subsets with at most 2 components, with the Hausdorff metric. In this talk we will to present the following result: If X and Y are in D and C2(X) is homeomorphic to C2(Y), then X is homeomorphic to Y.
Date received: January 16, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # catv-06.