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