Infima of hyperspace topologies

DOI10.1112/S0025579300011360zbMath0822.54004OpenAlexW2154854959MaRDI QIDQ4844782

Camillo Costantini, Sandro Levi, Jan Pelant

Publication date: 27 August 1995

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300011360

zbMATH Keywords

Kuratowski convergencecocompact topologyWijsman topologiesinfimum of hyperspace topologiesupper Wijsman topologies

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (7)

Unnamed Item ⋮ Tightness, character and related properties of hyperspace topologies ⋮ Gap topologies in metric spaces ⋮ Baire spaces and hyperspace topologies ⋮ The Wijsman topology of a fuzzy metric space ⋮ On (strong) \(\alpha \)-favorability of the Wijsman hyperspace ⋮ Metrics that generate the same hyperspace convergence

Cites Work

• Uniform continuity of continuous functions of metric spaces
• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• Distance functionals and suprema of hyperspace topologies
• Metrics that generate the same hyperspace convergence
• Metric spaces with nice closed balls and distance functions for closed sets
• Cyrtologies of Convergences, I
• On the Infimum of the Hausdorff and Vietoris Topologies
• On The Infimum of the Hausdorff Metric Topologies
• Some Characterizations of Compactness

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