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First International Meeting on Continuum Theory
June 29 - July 1, 2000
Facultad de Ciencias Fisico-Matematicas de la Benemerita Universidad Autonoma de Puebla
Puebla, Mexico

Organizers
Raul Escobedo, Fernando Macias, Sergio Macias, Richard Schori, Carl Seaquist

View Abstracts

A Generalization of Curtis-Schori-West Hyperspace Theorem
by
Sergey Antonyan
Facultad de Ciencias, UNAM

For a metric space X let expX denote the hyperspace of all nonvoid compact subsets of X endowed with the Hausdorff metric topology. The classical Curtis-Schori-West Hyperspace Theorem asserts that expX is a Hilbert cube whenever X is a nondegenerate Peano continuum. In this talk we shall in particular present the following generalization of this result: Let G be a compact group acting continuously and nontransitively on a nondegenerate Peano continuum X. Then the orbit space (expX)/G of the induced action of G on expX is a Hilbert cube.

Date received: May 14, 2000

Copyright © 2000 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 # caem-20.