Extreme points and descriptive sets

R. Kaufman

Fundamenta Mathematicae (1993)

  • Volume: 143, Issue: 2, page 179-181
  • ISSN: 0016-2736

Abstract

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A class of closed, bounded, convex sets in the Banach space c 0 is shown to be a complete PCA set.

How to cite

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Kaufman, R.. "Extreme points and descriptive sets." Fundamenta Mathematicae 143.2 (1993): 179-181. <http://eudml.org/doc/212000>.

@article{Kaufman1993,
abstract = {A class of closed, bounded, convex sets in the Banach space $c_0$ is shown to be a complete PCA set.},
author = {Kaufman, R.},
journal = {Fundamenta Mathematicae},
keywords = {extreme point; complete PCA set},
language = {eng},
number = {2},
pages = {179-181},
title = {Extreme points and descriptive sets},
url = {http://eudml.org/doc/212000},
volume = {143},
year = {1993},
}

TY - JOUR
AU - Kaufman, R.
TI - Extreme points and descriptive sets
JO - Fundamenta Mathematicae
PY - 1993
VL - 143
IS - 2
SP - 179
EP - 181
AB - A class of closed, bounded, convex sets in the Banach space $c_0$ is shown to be a complete PCA set.
LA - eng
KW - extreme point; complete PCA set
UR - http://eudml.org/doc/212000
ER -

References

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  1. [1] H. Becker, Pointwise limits of subsequences and Σ 2 1 sets, Fund. Math. 128 (1987), 159-170. 
  2. [2] H. Becker, S. Kahane and A. Louveau, Some complete Σ 2 1 sets in harmonic analysis, preprint, Univ. Paris VI, 1991. 
  3. [3] D. G. Bourgin, Geometric Aspects of Convex Sets with the Radon-Nikodym Property, Lecture Notes in Math. 993, Springer, 1983. Zbl0512.46017
  4. [4] E. G. Effros, Convergence of closed subsets in a topological space, Proc. Amer. Math. Soc. 16 (1965), 929-931. Zbl0139.40403
  5. [5] J. E. Jayne and C. A. Rogers, The extremal structure of convex sets, J. Funct. Anal. 26 (1977), 251-288. Zbl0411.46008
  6. [6] R. Kaufman, Co-analytic sets and extreme points, Bull. London Math. Soc. 19 (1987), 72-74. Zbl0601.54041
  7. [7] J. Saint-RaymondPAIGN, 1409 WEST GREEN STREET, URBANA, ILLINOIS 61801, U.S.A. 

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