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Let X be an arbitrary set. A be a class of subsets of X and I be an extended real-valued function : A(0, +00).
Let X be an arbitrary set. A be a class of subsets of X and I be an extended real-valued function : A(0, +00). When is said to be countably sub-additive. (1) (ii) said to be a measure on A. (b) (i) Let (X.A.) be a measure space. Prove that, if (A) is an arbitrary sequence of sets in A, then (UA) (A)
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To prove that is countably subadditive we need to show that for any countable sequence of sets Ak in ...
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Algebra Graduate Texts In Mathematics 73
Authors: Thomas W. Hungerford
8th Edition
978-0387905181, 0387905189
