Choquet’s capacitability theorem

Choquet’s capacitability theorem states that analytic setsMathworldPlanetmath ( are capacitable.

Theorem (Choquet).

Let F be a paving that is closed under finite unions and finite intersectionsMathworldPlanetmathPlanetmath. If I is an F-capacity, then all F-analytic sets are (F,I)-capacitable.

A useful consequence of this result for applicatons to measure theory is the universalPlanetmathPlanetmathPlanetmath measurability of analytic sets (

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