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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Hyperspaces of dendrites
by
David Herrera-Carrasco
Facultad de Ciencias Físico Matemáticas, BUAP, Puebla, México

A continuum is nonempty, compact, connected metric space and a dendrite is a locally connected continuum which contains no simple closed curve. In this talk we prove the following theorem: Let X be dendrite, Y is a continuum. Assume that the set E(X) (of end points of X) is closed in X. If C(X) is homeomorphic to C(Y), then X is homeomorphic to Y. In other words, the class of dendrites with ends points closed have unique hyperspace.

Date received: July 2, 2002

Copyright © 2002 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 # caje-17.