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The word "null" in "null set" refers its Lebesgue measure being zero.



Null sets in and of themselves have nothing to do with Lebesgue integrals. Null sets are definitely are not defined by Lebesgue integrals, you might be thinking of a set of measure zero which has to do with Lebesgue measure


> has to do with Lebesgue measure

As in, the only thing Lebesgue that my comment mentions.




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