Convex Corson compacta and Radon measures
Grzegorz Plebanek
Fundamenta Mathematicae, Tome 173 (2002), p. 143-154 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of Σ(ℝω₁), 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 Gδ-points.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:283247 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-4,
     author = {Grzegorz Plebanek},
     title = {Convex Corson compacta and Radon measures},
     journal = {Fundamenta Mathematicae},
     volume = {173},
     year = {2002},
     pages = {143-154},
     zbl = {1045.28008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-4}
}

Grzegorz Plebanek. Convex Corson compacta and Radon measures. Fundamenta Mathematicae, Tome 173 (2002) pp. 143-154. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-4/