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Fell continuous selections and topologically well-orderable spaces
Published online by Cambridge University Press: 26 February 2010
Abstract
The present paper extends the idea of characterizing topological properties of a space X by means of continuous selections for its closed subsets (X) endowed with a “natural” hyperspace topology. In this particular case, it is proved that the property of X to be topologically well-orderable is equivalent to the existence of a selection for (X) which is continuous with respect to the Fell topology.
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- Copyright © University College London 2004
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