This question came up recently, and I'm wondering whether or not it's true:(adsbygoogle = window.adsbygoogle || []).push({});

Let (X,A,m) be a finite measure space. Let E_1,E_2,... be a sequence of measurable subsets of X of constant positive measure (i.e., there exists c>0 such that m(E_i) = c for all i). Then there exists a subsequence of the sequence E_1,E_2,... whose intersection has positive measure.

Any ideas?

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# Measure theory question

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