Choquet simplexes whose set of extreme points is K-analytic

DOI10.5802/aif.1024zbMath0564.46008OpenAlexW2027666177MaRDI QIDQ1058106

Michel Talagrand

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_3_195_0

zbMATH Keywords

Stone- Čech compactificationChoquet simplexes whose set of extreme points is K-analytic

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (6)

Internal descriptions of absolute Borel classes ⋮ On a certain class of \(\mathcal K_{\sigma\delta}\) Banach spaces ⋮ Absolute \(F_{\sigma\delta}\) spaces ⋮ Talagrand's \(K_{\sigma \delta}\) problem ⋮ Affine Baire-one functions on Choquet simplexes ⋮ Complexities and representations of $\mathcal F$-Borel spaces

Cites Work

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• Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.)
• Espaces de Banachs faiblement K-analytiques
• A criterion for the metrizability of a compact convex set in terms of the set of extreme points
• Sur les convexes compacts dont l'ensemble des points extrémaux est $\cal K$-analytique
• AN EXTREME POINT CRITERION FOR SEPARABILITY OF A DUAL BANACH SPACE, AND A NEW PROOF OF A THEOREM OF CORSON
• A survey of separable descriptive theory of sets and spaces

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