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The topological space of all extreme points of a compact convex set

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Publication:1822720
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DOI10.1007/BF02844522zbMath0679.46006MaRDI QIDQ1822720

Daniela Bensimon

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)


zbMATH Keywords

complete metric spaceChoquet simplexspace of all extreme points of a metrizable compact convex setzero covering dimension


Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55)


Related Items (3)

The Eckhaus instability for traveling waves ⋮ The world of the complex Ginzburg-Landau equation ⋮ Experiments with pattern-forming systems



Cites Work

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  • Le théorème de représentation intégrale dans les ensembles convexes compacts
  • Homomorphisms and inverse limits of Choquet simplexes
  • Selected Selection Theorems
  • A New Proof that every Polish Space is the Extreme Boundary of a Simplex
  • Extreme Boundaries and continous affine functions.
  • Tensor Products, Infinite Products, and Projective Limits of Choquet Simplexes.
  • Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.


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