Extreme points and descriptive sets

• Autorzy: R. P. Kaufman
• Języki publikacji: EN

Abstrakty

EN

A class of closed, bounded, convex sets in the Banach space $c_0$ is shown to be a complete PCA set.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1993
• Tom: 143
• Numer: 2
• Strony: 179-181

Daty

wydano

1993

otrzymano

1993-01-21

Twórcy

autor

R. P. Kaufman

• Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801, U.S.A.

Bibliografia

• [1] H. Becker, Pointwise limits of subsequences and $Σ^1_2$ sets, Fund. Math. 128 (1987), 159-170.
• [2] H. Becker, S. Kahane and A. Louveau, Some complete $Σ^1_2$ 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.
• [4] E. G. Effros, Convergence of closed subsets in a topological space, Proc. Amer. Math. Soc. 16 (1965), 929-931.
• [5] J. E. Jayne and C. A. Rogers, The extremal structure of convex sets, J. Funct. Anal. 26 (1977), 251-288.
• [6] R. Kaufman, Co-analytic sets and extreme points, Bull. London Math. Soc. 19 (1987), 72-74.
• [7] J. Saint-RaymondPAIGN, 1409 WEST GREEN STREET, URBANA, ILLINOIS 61801, U.S.A.