# Extreme points and descriptive sets

Fundamenta Mathematicae (1993)

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

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topKaufman, 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

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

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