Borel classes of sets of extreme and exposed points in $\mathbb {R}^n$

DOI10.1090/S0002-9939-05-07743-9zbMath1061.03049MaRDI QIDQ4654139

Tamás Keleti, Petr Holický

Publication date: 1 March 2005

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

zbMATH Keywords

extreme pointsconvex setexposed points, Borel classes

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• The extremal structure of convex sets
• Exposed points of convex sets
• The convex generation of convex Borel sets in Euclidean space
• A Compact Convex Set in E 3 whose Exposed Points are of the First Category
• Convex Analysis