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Lebesgue measure

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

Mathematics Subject Classification

28A12 no label found26A42 no label found03B52 no label found03B50 no label found

Comments

is how to pronounce "Lebesgue"
-apk

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

vampyr

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.

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