The AR-property in linear metric spaces

DOI10.1016/S0166-8641(99)00179-0zbMath0997.46002OpenAlexW2036738348MaRDI QIDQ5925885

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Publication date: 5 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00179-0

zbMATH Keywords

AR-propertyextreme pointHilber spacelinear metric 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)

Cites Work

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• Investigating the ANR-property of metric spaces
• A compact convex set with no extreme points
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Every Needle Point Space Contains a Compact Convex AR-Set with no Extreme Points
• The Compact Neighborhood Extension Property and Local Equi-Connectedness
• Un espace métrique linéaire qui n'est pas un rétracte absolu
• The AR-property for Roberts’ example of a compact convex set with no extreme points Part 1: General result
• A rigid space homeomorphic to Hilbert space
• Admissibility, the Locally Convex Approximation Property, and the AR-Property in Linear Metric Spaces

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