A splitting property of the upper bounded-Hausdorff convergence
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We provide a characterization, based on a splitting property, for the upper bounded-Hausdorff convergence of a net of closed sets. Furthermore, we use this property to describe the local structure of the upper bounded-Hausdorff topology.
Mathematics Subject Classifications (1991)Primary: 54B20 Secondary: 54A20 54D05
Key wordsHyperspace of a metric space upper Hausdorff and upper bounded-Hausdorff convergence splitting property
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