Common supports of families of sets

DOI10.1007/BF01264097zbMath0813.52001OpenAlexW2130085152MaRDI QIDQ1336205

Robert J. MacG. Dawson

Publication date: 29 May 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264097

zbMATH Keywords

hyperplaneBanach spacesupportseparationbounded convex sets

Mathematics Subject Classification ID

Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

• Unnamed Item
• Families of bodies with definite common supports
• Helly-type theorems for bodies in the plane with common supports
• Common supports for pairs of sets
• On strongly exposed points and Frechet differentiability
• Dentability and extreme points in Banach spaces
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• On separated families of convex bodies
• Some extensions of a dual of the Hahn-Banach Theorem, with applications to separation and Helly type theorems

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