Hyperspaces of finite subsets, homeomorphic to pre-Hilbert spaces

DOI10.1016/j.topol.2016.07.013zbMath1350.54015OpenAlexW2504463899MaRDI QIDQ306137

Katsuhisa Koshino

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.07.013

zbMATH Keywords

hyperspaceHausdorff metricVietoris topologyHilbert spacestrong universality\(Z\)-setdiscrete cells propertystrong \(Z\)-set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological characterizations of particular spaces (54F65) Topology of infinite-dimensional manifolds (57N20)

Related Items (3)

On a hyperspace of compact subsets which is homeomorphic to a non-separable Hilbert space ⋮ More absorbers in hyperspaces ⋮ Characterizations of manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property

Cites Work

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• Characterizing non-separable sigma-locally compact infinite-dimensional manifolds and its applications
• Hyperspaces of finite subsets of non-separable Hilbert spaces
• Hyperspaces of finite subsets as boundary sets
• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Topological groups and convex sets homeomorphic to non-separable Hilbert spaces
• Hyperspaces of Finite Sets in Universal Spaces for Absolute Borel Classes
• Hyperspaces Homeomorphic to Hilbert Space
• Geometric Aspects of General Topology

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