Convex compact spaces and their maps

DOI10.1016/0166-8641(90)90004-LzbMath0718.46005MaRDI QIDQ2639297

Evgenii A. Reznichenko

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

extreme pointssimplexweightLindelöf spacecardinal functiontopological properties of convex compact subsets of locally convex spaces

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) General theory of locally convex spaces (46A03) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (7)

Affine images of compact convex sets and maximal measures ⋮ Weights of boundaries of compact convex sets ⋮ Separate continuity, joint continuity, the Lindelöf property and \(p\)-spaces ⋮ Generic Banach spaces and generic simplexes ⋮ Separable subspaces of affine function spaces on convex compact sets ⋮ Boundaries of compact convex sets and fragmentability ⋮ On the topology of pointwise convergence on the boundaries of 𝐿₁-preduals

Cites Work

• Quelques propriétés des espaces \(\alpha\)-favorables et applications aux convexes compacts
• Metrization of compact convex sets
• A criterion for the metrizability of a compact convex set in terms of the set of extreme points
• AN EXTREME POINT CRITERION FOR SEPARABILITY OF A DUAL BANACH SPACE, AND A NEW PROOF OF A THEOREM OF CORSON
• Metrizability of Compact Convex Sets
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