Detecting Hilbert manifolds among isometrically homogeneous metric spaces

DOI10.1016/j.topol.2010.02.012zbMath1196.57017arXiv0908.4205OpenAlexW2046816183MaRDI QIDQ968917

Taras Banakh, Dušan D. Repovš

Publication date: 10 May 2010

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

Full work available at URL: https://arxiv.org/abs/0908.4205

zbMATH Keywords

Hilbert manifoldisometrically homogeneous

Mathematics Subject Classification ID

Topology of infinite-dimensional manifolds (57N20)

Related Items (2)

Detecting topological groups which are (locally) homeomorphic to LF-spaces ⋮ Asymptotic cones and boundaries of CAT(0) spaces

Cites Work

• Continuous selections. II
• Separable complete ANR's admitting a group structure are Hilbert manifolds
• The homeomorphism group of a compact Hilbert cube manifold is an ANR
• Introduction to topological groups
• Topological groups and convex sets homeomorphic to non-separable Hilbert spaces
• Groups without small subgroups
• The Bing-Borsuk and the Busemann Conjectures
• Characterizing Hilbert space topology
• Homogeneous Locally Compact Groups with Compact Boundary
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