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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Metrizability of compact convex sets


Author: H. H. Corson
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
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0265904-7
Keywords: Convex set, metrizable, extreme points, analytic sets
Article copyright: © Copyright 1970 American Mathematical Society

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