Geodesic
Convex Corson compacta and Radon measures
Grzegorz Plebanek1
1 Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 143-154

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Assuming the continuum hypothesis, we show that (i) there is a compact convex subset $L$ of ${\mit \Sigma }({{\mathbb R}}^{\omega _{1}})$, and a probability Radon measure on $L$ which has no separable support; (ii) there is a Corson compact space $K$, and a convex weak$^*$-compact set $M$ of Radon probability measures on $K$ which has no $G_{\delta }$-points.
DOI : 10.4064/fm175-2-4
Keywords: assuming continuum hypothesis there compact convex subset mit sigma mathbb omega probability radon measure which has separable support there corson compact space convex weak * compact set radon probability measures which has delta points

Grzegorz Plebanek 1

1 Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Grzegorz Plebanek. Convex Corson compacta and Radon measures. Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 143-154. doi: 10.4064/fm175-2-4

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