Metrics that generate the same hyperspace convergence

DOI10.1007/BF01027689zbMath0796.54016MaRDI QIDQ1308947

Camillo Costantini, Sandro Levi, Jolanta Ziemińska

Publication date: 28 September 1994

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

Wijsman convergencehyperspace of a metric spacestrict \(d\)-inclusion

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20)

Related Items (12)

Wijsman convergence: A survey ⋮ Unnamed Item ⋮ Tightness, character and related properties of hyperspace topologies ⋮ Wijsman topology on function spaces ⋮ Equivalence among hypertopologies ⋮ The Wijsman and Attouch-Wets topologies on hyperspaces revisited ⋮ Gap topologies in metric spaces ⋮ Infima of hyperspace topologies ⋮ Every Wijsman Topology Relative to a Polish Space is Polish ⋮ Regularity aspects of non-additive set multifunctions ⋮ Gap, excess and bornological convergence ⋮ Compactness and local compactness in hyperspaces

Cites Work

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• Uniform continuity of continuous functions of metric spaces
• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• An embedding theorem for the Fell topology
• Distance functionals and suprema of hyperspace topologies
• Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
• Mosco convergence and weak topologies for convex sets and functions
• Weak Topologies for the Closed Subsets of a Metrizable Space
• Wijsman convergence of convex sets under renorming
• Infima of hyperspace topologies
• On locally compact metrisable spaces

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