Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness

DOI10.2307/2001428zbMath0692.57007OpenAlexW4240693872MaRDI QIDQ3034537

Tadeusz Dobrowolski

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001428

zbMATH Keywords

diffeomorphismabsorbing setspre-Hilbert spacealmost openZ-setsaction of a complete group on a complete spaceextending homeomorphisms between compacta of metric linear spaceshomeomorphism extension propertyisotopy extensionlocally convex metric linear spaceskeleton technique

Mathematics Subject Classification ID

Complete metric spaces (54E50) Compact (locally compact) metric spaces (54E45) Isotopy and pseudo-isotopy (57N37) General theory of locally convex spaces (46A03) Topology of topological vector spaces (57N17) Extension of maps (54C20) Differential topological aspects of diffeomorphisms (57R50)

Related Items (5)

Open problems in topology. ⋮ Affine and homeomorphic embeddings into $\ell ^2$ ⋮ Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces ⋮ Admissibility, homeomorphism extension and the AR-property in topological linear spaces ⋮ Absorbing spaces for \(C\)-compacta

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