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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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The hyperspaces C(p, X) for atriodic continua
by
Patricia Pellicer
Universidad Autonoma Metropolitana

Let C(X) denote the hyperspace of subcontinua of a continuum X. For p in X, define the hyperspaces C(p, X) = {A in C(X) : p in A}. We show that nondegenerate Whitney levels of C(p, X) are arcs when X is an atriodic continuum. Also, a characterization of the hyperspaces C(p, X) is given for atriodic continua.

Date received: December 14, 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 # cajz-05.