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Infima of hyperspace topologies
Published online by Cambridge University Press: 26 February 2010
Abstract
We study infima of families of topologies on the hyperspace of a metrizable space. We prove that Kuratowski convergence is the infimum, in the lattice of convergences, of all Wijsman topologies and that the cocompact topology on a metric space which is complete for a metric d is the infimum of the upper Wijsman topologies arising from metrics that are uniformly equivalent to d.
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- Research Article
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- Copyright © University College London 1995
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