A rigid space homeomorphic to Hilbert space

DOI10.1090/S0002-9939-98-04462-1zbMath0889.46004OpenAlexW1565413115MaRDI QIDQ4372729

Paul Sisson, Nguyen To Nhu

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04462-1

zbMATH Keywords

absolute retractrigid spaceAR-spacetheorem of Dobrowolski and Torunczyktopologically homeomorphic to Hilbert space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Topological characterizations of particular spaces (54F65) Pathological topological spaces (54G15)

Related Items

Rigid sets, The AR-property in linear metric spaces

Cites Work

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• Investigating the ANR-property of metric spaces
• A Rigid Subspace of L 0
• A rigid topological vector space
• The Compact Neighborhood Extension Property and Local Equi-Connectedness
• A rigid space admitting compact operators
• Probability Measure Functors Preserving the ANR-Property of Metric Spaces