- #1

SpaceTag

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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?