Sur les convexes compacts dont l'ensemble des points extrémaux est $\cal K$-analytique

DOI10.24033/bsmf.1884zbMath0422.46007OpenAlexW2306429927MaRDI QIDQ3855678

Michel Talagrand

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__49_0

zbMATH Keywords

Borel setcompact convex setanalytic setcountably determinedextremal-point

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Convex sets in topological linear spaces; Choquet theory (46A55) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (4)

A solution of the abstract Dirichlet problem for Baire-one functions ⋮ Extending Baire-one functions on topological spaces ⋮ Quelques propriétés des espaces \(\alpha\)-favorables et applications aux convexes compacts ⋮ Choquet simplexes whose set of extreme points is K-analytic

Cites Work

• Espaces de Banachs faiblement K-analytiques
• Metrization of compact convex sets
• A criterion for the metrizability of a compact convex set in terms of the set of extreme points
• Characterizations and metrization of proper analytic spaces
• A New Proof that every Polish Space is the Extreme Boundary of a Simplex
• AN EXTREME POINT CRITERION FOR SEPARABILITY OF A DUAL BANACH SPACE, AND A NEW PROOF OF A THEOREM OF CORSON
• On one generalization of weakly compactly generated Banach spaces
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