On the selection problem for ``metric-proximal hyperspaces

DOI10.1016/J.TOPOL.2015.12.084zbMath1339.54007OpenAlexW2237006671MaRDI QIDQ266331

Marco Rosa

Publication date: 13 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.084

zbMATH Keywords

continuous selectionhyperspaces\(\tau_U\)-topology\(d\)-proximal topologyHausdorff metric topologytotal disconnectedness

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Selections in general topology (54C65)

Cites Work

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• A question related to the Isbell problem
• Distance functionals and suprema of hyperspace topologies
• Existence of selections and disconnectedness properties for the hyperspace of an ultrametric space
• Uniformizing (proximal) \(\varDelta\)-topologies.
• Recognizing special metrics by topological properties of the ``metric-proximal hyperspace
• Selections and hyperspace topologies via special metrics
• Topological well-ordering and continuous selections
• Selections for Vietoris-Like Hyperspace Topologies
• On The Infimum of the Hausdorff Metric Topologies

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