Convex Corson compacta and Radon measures

@article{GrzegorzPlebanek2002,
abstract = {Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of $Σ(ℝ^\{ω₁\})$, 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 $G_\{δ\}$-points.},
author = {Grzegorz Plebanek},
journal = {Fundamenta Mathematicae},
keywords = {Radon measures; Corson compacts; measures with separable support},
language = {eng},
number = {2},
pages = {143-154},
title = {Convex Corson compacta and Radon measures},
url = {http://eudml.org/doc/283247},
volume = {175},
year = {2002},
}

TY - JOUR
AU - Grzegorz Plebanek
TI - Convex Corson compacta and Radon measures
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 2
SP - 143
EP - 154
AB - Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of $Σ(ℝ^{ω₁})$, 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 $G_{δ}$-points.
LA - eng
KW - Radon measures; Corson compacts; measures with separable support
UR - http://eudml.org/doc/283247
ER -