Vitali’s Theorem

There exists a set V[0,1] which is not Lebesgue measurable. Notice that this result requires the Axiom of ChoiceMathworldPlanetmath.

Title Vitali’s Theorem
Canonical name VitalisTheorem
Date of creation 2013-03-22 13:45:47
Last modified on 2013-03-22 13:45:47
Owner paolini (1187)
Last modified by paolini (1187)
Numerical id 5
Author paolini (1187)
Entry type Theorem
Classification msc 28Axx
Synonym existence of non measurable sets
Related topic Integral2
Related topic LebesgueMeasure
Related topic PsuedoparadoxInMeasureTheory
Related topic ExampleOfFunctionNotLebesgueMeasurableWithMeasurableLevelSets