Unformatted text preview: A ⊆ [0 , 1], there exists a Borel set B ⊆ [0 , 1] such that the symmetric diﬀerence A 4 B has measure zero. (Recall that the symmetric diﬀerence of two sets is deﬁned as A 4 B = ( A \ B ) ∪ ( B \ A ).) 1...
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- Spring '08
- Math, measure, Lebesgue measure, Lebesgue integration, Symmetric difference, Borel measure