Compactness and local compactness in hyperspaces

DOI10.1016/S0166-8641(01)00222-XzbMath1024.54005MaRDI QIDQ1862032

Jan Pelant, Camillo Costantini, Sandro Levi

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

hyperspacecompact spacelocally compact spaceHausdorff hypertopologyWijsman hypertopologyrelatively compact subspaceVietoris hypertopology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Compactness (54D30) Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (5)

Semiflows: prolongation sets, point-transitive, topologically transitive ⋮ On complete metrizability of the Hausdorff metric topology ⋮ Absolute Borel sets and function spaces ⋮ MULTIVALUED FRACTALS AND HYPERFRACTALS ⋮ A note on hyperspaces by closed sets with Vietoris topology

Cites Work

• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• Relative compactness for capacities, measures, upper semicontinuous functions and closed sets
• Metrics that generate the same hyperspace convergence
• Compactoid and compact filters
• On the hyperspace of a non-separable metric space
• Topologies on Spaces of Subsets
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