Sur les convexes compacts dont l’ensemble des points extrémaux est 𝒦 -analytique

Michel Talagrand

Bulletin de la Société Mathématique de France (1979)

  • Volume: 107, page 49-53
  • ISSN: 0037-9484

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Talagrand, Michel. "Sur les convexes compacts dont l’ensemble des points extrémaux est $\mathcal {K}$-analytique." Bulletin de la Société Mathématique de France 107 (1979): 49-53. <http://eudml.org/doc/87361>.

@article{Talagrand1979,
author = {Talagrand, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {compact convex set; extremal-point; Borel set; analytic set; countably determined},
language = {fre},
pages = {49-53},
publisher = {Société mathématique de France},
title = {Sur les convexes compacts dont l’ensemble des points extrémaux est $\mathcal \{K\}$-analytique},
url = {http://eudml.org/doc/87361},
volume = {107},
year = {1979},
}

TY - JOUR
AU - Talagrand, Michel
TI - Sur les convexes compacts dont l’ensemble des points extrémaux est $\mathcal {K}$-analytique
JO - Bulletin de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 107
SP - 49
EP - 53
LA - fre
KW - compact convex set; extremal-point; Borel set; analytic set; countably determined
UR - http://eudml.org/doc/87361
ER -

References

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  1. [1] CHOQUET (G.). — Lectures on analysis, Vol. 2. — New York, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). Zbl0181.39602
  2. [2] FAKHOURY (H.). — Stabilité des simplexes de Lion, C. R. Acad. Sc. Paris, t. 270, série A, 1970, p. 110-112. Zbl0186.18402MR41 #5952
  3. [3] HAYDON (R.). — A new proof that every polish space is the extreme boundary of a simplex, Bull. London math. Soc., t. 7, 1975, p. 97-100. Zbl0302.46003MR50 #10778
  4. [4] HAYDON (R.). — An extreme point criterion for separability of a dual Banach space, and a new proof of a theorem of Corson, Quaterly J. Math., 2nd Series, t. 27, 1976, p. 379-385. Zbl0335.46012MR58 #12293
  5. [5] JAYNE (J. E.). — Characterisation and metrization of proper analytic spaces, Invent. Math., Berlin, t. 22, 1973, p. 51-62. Zbl0267.54036MR48 #9687
  6. [6] JAYNE (J. E.). — Metrization of compact convex sets (à paraître). Zbl0409.46014
  7. [7] MACGIBBON (B.). — A criterion for the metrizability of a compact convex set in terms of the set of extreme points, J. Funct. Anal., t. 11, 1972, p. 385-392. Zbl0281.46001MR49 #7723
  8. [8] PHELPS (R. R.). — Lectures on Choquet's theorem. — Princeton, D. van Nostrand Company, 1966 (Van Nostrand mathematical Studies, 7). Zbl0135.36203MR33 #1690
  9. [9] TALAGRAND (M.). — Sur la structure, borélienne des espaces analytiques, Bull. Sc. math., 2e série, t. 101, 1977, p. 415-422. Zbl0368.28003MR58 #17799
  10. [10] TALAGRAND (M.). — Espaces de Banach faiblement K-analytiques, Annals of Math. (à paraître). Zbl0393.46019
  11. [11] VAŠAK (L.). — On one generalization of weakly compactly generated Banach spaces, Studia Math., Warszawa (à paraître). Zbl0376.46012

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