Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space

DOI10.1007/BF02811880zbMath0723.54034OpenAlexW2058655147MaRDI QIDQ756759

D. Kharzeev

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02811880

zbMATH Keywords

extreme pointsPolish spacecompact convex set

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Extreme boundaries of convex bodies in \(\ell_2\)
• Extreme point properties of convex bodies in reflexive Banach spaces
• A New Proof that every Polish Space is the Extreme Boundary of a Simplex

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