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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,
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 ...Get Instant Access to Expert-Tailored Solutions
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