Selections and hyperspace topologies via special metrics

DOI10.1016/0166-8641(95)00092-5zbMath0863.54009OpenAlexW2010356593MaRDI QIDQ1916471

Valentin G. Gutev

Publication date: 3 July 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00092-5

zbMATH Keywords

Vietoris topology\(d\)-proximal topologyhyperspace topologyseparable metric

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Selections in general topology (54C65)

Related Items (2)

On the selection problem for ``metric-proximal hyperspaces ⋮ Existence of selections and disconnectedness properties for the hyperspace of an ultrametric space

Cites Work

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• Distance functionals and suprema of hyperspace topologies
• Equivalence among hypertopologies
• Topological well-ordering and continuous selections

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