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The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

Hyperspaces of 2-dimensional continua
by
Michael Levin
University of Saskatchewan

In 1995 Levin and Sternfeld answered in the affirmative Kelley's problem by showing that the hyperspace (= the space of all subcontinua) of a 2-dimensional continuum is infinite dimensional.

Applying real valued maps with remarkable properties we obtain the following improvement of this result: A 2-dimensional continuum contains a 1-dimensional subcontinuum whose hyperspace is infinite dimensional.

Date received: March 14, 1997

Copyright © 1997 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 # caam-58.