Suppose that C is a collection of some subsets of a set X. Let n(C) be...
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Suppose that C is a collection of some subsets of a set X. Let n(C) be the intersection of all monotone classes containing C. (a) Prove that n(C) is a monotone class. (b) Prove that n(n(C)) = n(C). Suppose that C is a collection of some subsets of a set X. Let n(C) be the intersection of all monotone classes containing C. (a) Prove that n(C) is a monotone class. (b) Prove that n(n(C)) = n(C).
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