Least one point that belongs to infinitely many sets an

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Throughout, A, B, {A_n, n ≥ 1}, and {B_n, n ≥ 1} are subsets of ?.

Let An, n ≥ 1, be Borel sets on the Lebesgue space ([0, 1], F(0, 1), λ). Show that, if there exists η>0, such that λ(An) ≥ η for all n, then there exists at least one point that belongs to infinitely many sets An.

Reference no: EM131830115

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