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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

On continua having hyperspaces as cones
by
María de Jesús López
Fac. de Ciencias, UNAM

Let X be a continuum. If X is not hereditarily decomposable and Z is a finite-dimensional continuum such that C(X) is homeomorphic to Cone(Z), then X contains exactly one (nondegenerate) indecomposable subcontinuum Y. Moreover, Y has the cone= hyperspace property. In this talk we are going to show that: the complement of Y in X has a finite number of arc components.

Date received: April 12, 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-09.