A New Proof that every Polish Space is the Extreme Boundary of a Simplex

DOI10.1112/blms/7.1.97zbMath0302.46003OpenAlexW2091098874MaRDI QIDQ4057123

Richard Haydon

Publication date: 1975

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/7.1.97

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) General theory of locally convex spaces (46A03) Ordered topological linear spaces, vector lattices (46A40) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (14)

Completeness of the isomorphism problem for separable \(C^\ast\)-algebras ⋮ Choquet simplices as spaces of invariant probability measures on post-critical sets ⋮ Extreme points of convex compact sets in the Hilbert cube ⋮ Arcwise connectedness of the set of ergodic measures of hereditary shifts ⋮ Linear metric spaces and analytic sets ⋮ Traces on simple AF C*-algebras ⋮ Some remarks on linear transformations between certain Banach spaces ⋮ The Choquet simplex of invariant measures for minimal flows ⋮ Extreme boundaries of convex bodies in \(\ell_2\) ⋮ Sur les convexes compacts dont l'ensemble des points extrémaux est $\cal K$-analytique ⋮ On the characterization of the dimension of a compact metric space K by the representing matrices of C(K) ⋮ The Poulsen simplex ⋮ Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space ⋮ The topological space of all extreme points of a compact convex set

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