Distance functionals and suprema of hyperspace topologies
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Publication:1210168
DOI10.1007/BF01760016zbMath0774.54004OpenAlexW1987912883MaRDI QIDQ1210168
Sandro Levi, Alojzy Lechicki, Gerald A. Beer, Somashekhar Amr Naimpally
Publication date: 16 May 1993
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01760016
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Metric characterizations of upper semicontinuity
- Uniform continuity of continuous functions of metric spaces
- Spaces whose finest uniformity is metric
- Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
- Convex analysis and measurable multifunctions
- Set-valued mappings, selections and topological properties of \(2^ x\). Proceedings of the conference held at the State University of New York at Buffalo May 8-10, 1969
- The Locally Finite Topology on 2 X
- On convergence of closed sets in a metric space and distance functions
- A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
- On the Arg Min Multifunction for Lower Semicontinuous Functions
- More about metric spaces on which continuous functions are uniformly continuous
- Metric spaces with nice closed balls and distance functions for closed sets
- Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
- On Uniform Continuity and Compactness in Metric Spaces
- On UC Spaces
- Convergence of Sequences of Convex Sets, Cones and Functions. II
- Topologies on Spaces of Subsets
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