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For Problem 12: Let {E} be a sequence of subsets in Rn, each of outer measure zero, namely, |Ek|e = 0, k = 1,

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For Problem 12: Let {E} be a sequence of subsets in Rn, each of outer measure zero, namely, |Ek|e = 0, k = 1, 2, . . . ..... A = lim inf Ek, B = lim sup Ek, k kx show that |A| = |B|e = 0. e

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To prove the given statement we need to show that the outer measure of the limit inferior and limit superior of the sets Ek is zero First lets define ... blur-text-image

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