A compact convex set in 𝐸³ whose exposed points are of the first category

Corson, H. H.

doi:10.1090/S0002-9939-1965-0180917-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A compact convex set in $E^{3}$ whose exposed points are of the first category
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by H. H. Corson

Proc. Amer. Math. Soc. 16 (1965), 1015-1021

DOI: https://doi.org/10.1090/S0002-9939-1965-0180917-5

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References

Gustave Choquet, Harry Corson, and Victor Klee, Exposed points of convex sets, Pacific J. Math. 17 (1966), 33–43. MR 198176, DOI 10.2140/pjm.1966.17.33
Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675
V. L. Klee Jr., Extremal structure of convex sets. II, Math. Z. 69 (1958), 90–104. MR 92113, DOI 10.1007/BF01187394