Metrizability of compact convex sets
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- by H. H. Corson PDF
- Trans. Amer. Math. Soc. 151 (1970), 589-596 Request permission
Abstract:
It is proved that a compact convex set is metrizable if the set of extreme points is the continuous image of a complete separable metric space.References
- Paul-A. Meyer, Probability and potentials, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1966. MR 0205288
- Maurice Sion, Topological and measure-theoretic properties of analytic sets, Proc. Amer. Math. Soc. 11 (1960), 769–776. MR 131509, DOI 10.1090/S0002-9939-1960-0131509-0
- Maurice Sion, On analytic sets in topological spaces, Trans. Amer. Math. Soc. 96 (1960), 341–354. MR 131507, DOI 10.1090/S0002-9947-1960-0131507-1
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 151 (1970), 589-596
- MSC: Primary 46.01; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9947-1970-0265904-7
- MathSciNet review: 0265904