Every Wijsman Topology Relative to a Polish Space is Polish

DOI10.2307/2161290zbMath0831.54014OpenAlexW4246910856MaRDI QIDQ4845995

Camillo Costantini

Publication date: 13 February 1996

Full work available at URL: https://doi.org/10.2307/2161290

zbMATH Keywords

Polish spaceWijsman topologyseparable complete metric spacecompletely metrizable space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Hyperspaces in general topology (54B20) Separability of topological spaces (54D65)

Related Items (17)

Unnamed Item ⋮ The Wijsman and Attouch-Wets topologies on hyperspaces revisited ⋮ Gap topologies in metric spaces ⋮ Oscillation revisited ⋮ Wijsman hyperspaces: Subspaces and embeddings ⋮ Complete metric absolute neighborhood retracts ⋮ On complete metrizability of the Hausdorff metric topology ⋮ On normality of the Wijsman topology ⋮ Hereditarily normal Wijsman hyperspaces are metrizable ⋮ Graphical convergence of continuous functions ⋮ Baire spaces and hyperspace topologies ⋮ Absolute Borel sets and function spaces ⋮ The Wijsman topology of a fuzzy metric space ⋮ Hausdorff hyperspaces of \(\mathbf{R}^{m}\) and their dense subspaces ⋮ On (strong) \(\alpha \)-favorability of the Wijsman hyperspace ⋮ Amsterdam properties of Wijsman hyperspaces ⋮ The Wijsman hyperspace of a metric hereditarily Baire space is Baire

Cites Work

• 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
• A Polish Topology for the Closed Subsets of a Polish Space
• Convergence of Closed Subsets in a Topological Space
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