Existence of selections and disconnectedness properties for the hyperspace of an ultrametric space

DOI10.1016/S0166-8641(97)00175-2zbMath0944.54009MaRDI QIDQ1295221

Daniela Bertacchi, Camillo Costantini

Publication date: 6 September 1999

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

zbMATH Keywords

Wijsman-topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Selections in general topology (54C65) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Connected and locally connected spaces (general aspects) (54D05)

Related Items (6)

On the selection problem for ``metric-proximal hyperspaces ⋮ Approaching points by continuous selections ⋮ Vietoris continuous selections and disconnectedness-like properties ⋮ Set-maximal selections ⋮ Selections and countably-approachable points ⋮ Extreme selections for hyperspaces of topological spaces

Cites Work

• Equivalence among hypertopologies
• Selections and hyperspace topologies via special metrics
• Topological well-ordering and continuous selections
• Selected Selection Theorems
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