Every non-normable Frechet space is homeomorphic with all of its closed convex bodies

DOI10.1007/BF02052848zbMath0138.37403WikidataQ116447749 ScholiaQ116447749MaRDI QIDQ2522035

Victor Klee, Czeslaw Bessaga

Publication date: 1966

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161362

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items (11)

A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines ⋮ Factoring the Hilbert cube ⋮ A factor theorem for Fréchet manifolds ⋮ Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals ⋮ A metric linear space is an open cone ⋮ On the topological classification of starlike bodies in Banach spaces ⋮ On Homeomorphisms of Infinite-Dimensional Bundles. I ⋮ Factors of Infinite-Dimensional Manifolds ⋮ Separable complete ANR's admitting a group structure are Hilbert manifolds ⋮ Infinite Products which are Hilbert Cubes ⋮ Micro-bundles with infinite-dimensional fibers are trivial

Cites Work

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• Two topological properties of topological linear spaces
• Convex Structures and Continuous Selections
• Hilbert space is homeomorphic to the countable infinite product of lines
• Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals
• Topological equivalence of a Banach space with its unit cell
• Zur Theorie der Systeme linearer Gleichungen
• Mappings Between Function Spaces
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space
• Some Topological Properties of Convex Sets

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