Choquet’s capacitability theorem

Choquet’s capacitability theorem states that analytic sets (http://planetmath.org/AnalyticSet2) are capacitable.

Theorem (Choquet).

Let $\mathrm{F}$ be a paving that is closed under finite unions and finite intersections. If $I$ is an $\mathrm{F}$-capacity, then all $\mathrm{F}$-analytic sets are $\mathrm{(}\mathrm{F}\mathrm{,}I\mathrm{)}$-capacitable.

A useful consequence of this result for applicatons to measure theory is the universal measurability of analytic sets (http://planetmath.org/MeasurabilityOfAnalyticSets).

Title	Choquet’s capacitability theorem
Canonical name	ChoquetsCapacitabilityTheorem
Date of creation	2013-03-22 18:47:49
Last modified on	2013-03-22 18:47:49
Owner	gel (22282)
Last modified by	gel (22282)
Numerical id	4
Author	gel (22282)
Entry type	Theorem
Classification	msc 28A05
Classification	msc 28A12
Synonym	capacitability theorem