I was told that while M, class of all Lebesgue measurable set is complete, sigma field generated by all open set B is not. Can someone give me an example of interval which is inside M yet is not included in B? Thank you.
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Look at the subsets of the Cantor set. – user2345215 Nov 22 '14 at 16:03
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thank you for your answer. because of that, I manage to find this discussion. http://math.stackexchange.com/questions/206618/positive-outer-measure-set-and-nonmeasurable-subset – mohlee Nov 22 '14 at 16:17