Hyperspaces of compact sets in metric linear spaces

DOI10.1016/0166-8641(86)90001-5zbMath0613.54002OpenAlexW2010067900MaRDI QIDQ1819399

Nguyen To Nhu

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90001-5

zbMATH Keywords

linear metric spaceHilbert manifoldsHilbert cubesstrong discrete approximation propertyhyperspace of finite subsetsconvex family of subsetsHausdorff-metrized hyperspace

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topology of infinite-dimensional manifolds (57N20)

Related Items (1)

Probability Measure Functors Preserving the ANR-Property of Metric Spaces

Cites Work

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• Hyperspaces of finite subsets as boundary sets
• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Separable complete ANR's admitting a group structure are Hilbert manifolds
• The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces
• Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and &#8721
• Investigating the ANR-property of metric spaces
• Characterizing Hilbert space topology
• Hyperspaces Homeomorphic to Hilbert Space
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Hyperspaces of Peano continua are Hubert cubes
• Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
• Locally Contractible Spaces That are Absolute Neighborhood Retracts

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