# Lebesgue measure

## Primary tabs

Defines:
Lebesgue measurable
Keywords:
real analysis
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### the real question...

is how to pronounce "Lebesgue"
-apk

### Re: the real question...

I think it rhymes with "the pig" (with the accent on "pig").

vampyr

### borel sets

I think you should point out that the 'lebesgue measurable' sets in this sense contains the borel sigma algebra, and that it coincides with the obvious measure on the intervals (a,b]! Also it might be worth pointing out it's the unique such measure on the borel sigma algebra.