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Local Compactness of the Hyperspace C(X)
by
Robbie Beane
University of Missouri - Rolla
Given a metric space X, we analyze local compactness of the hyperspace C(X) of closed, connected subsets, with the goal of obtaining a characterization for local compactness of the hyperspace. We generalize previously established necessary and sufficient conditions, and propose a possible characterization.
Date received: February 26, 2005
Copyright © 2005 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 # capc-55.