Convex Corson compacta and Radon measures

• Autorzy: Grzegorz Plebanek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
• 46E27: Spaces of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 175
• Numer: 2
• Strony: 143-154

Daty

wydano

2002

Twórcy

autor

Grzegorz Plebanek

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/fm175-2-4