Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.

DOI10.7146/math.scand.a-11013zbMath0225.46014OpenAlexW2530892464MaRDI QIDQ5631595

Publication date: 1971

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166172

Mathematics Subject Classification ID

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) Ordered topological linear spaces, vector lattices (46A40)

Related Items (10)

Facial Characterizations of Complex Lindenstrauss Spaces ⋮ Dilated sets and characterizations of simplexes ⋮ On the Construction of Split-Face Topologies ⋮ Bounded extensions and characterizations of C(X) ⋮ Generalized Dirichlet problems and continuous selections of representing measures ⋮ Convex sets, extreme points, and simplexes ⋮ A geometrical characterization of Choquet simplexes ⋮ La théorie des cônes biréticulés. (The theory of bi-lattice-ordered cones) ⋮ Topologies faciales dans les convexes compacts - calcul fonctionnel et decomposition spectrale dans le centre d'un espace \(A(X)\) ⋮ The topological space of all extreme points of a compact convex set

This page was built for publication: Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.