Metrization of compact convex sets

DOI10.1007/BF01420961zbMath0409.46014MaRDI QIDQ1258937

J. E. Jayne

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163126

zbMATH Keywords

Polish spaceextreme boundarycompact convex subsetmetrizabilitycompact convex setsdistinguishable

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) General theory of locally convex spaces (46A03) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (4)

Weights of boundaries of compact convex sets ⋮ Convex compact spaces and their maps ⋮ Sur les convexes compacts dont l'ensemble des points extrémaux est $\cal K$-analytique ⋮ Quelques propriétés des espaces \(\alpha\)-favorables et applications aux convexes compacts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• AN EXTREME POINT CRITERION FOR SEPARABILITY OF A DUAL BANACH SPACE, AND A NEW PROOF OF A THEOREM OF CORSON
• Structure of analytic Hausdorff spaces
• A measurable map with analytic domain and metrizable range is quotient
• Stone-Weierstrass Theorems for C(X) with the Sequential Topology
• Metrizability of Compact Convex Sets

This page was built for publication: Metrization of compact convex sets