HW204 - Analysis 2 Homework 04 1. For A N = cfw_1, . . . n...

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Analysis 2 Homework 04 1. For A N = { 1 ,... } 3 n let ν n ( A ) = 1 n μ # ( A [1 ,n ]); let C denote the collection of those subsets A for which ( ν n ( A )) n =1 converges and define ν : C → [0 , 1] : A 7→ lim n →∞ ν n ( A ) . Is ( N , C ) a probability space? 2. Let R be equipped with the Borel σ -algebra. Recall that every continuous function from R to itself is (Borel) measurable. Is every (weakly) monotonic
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This note was uploaded on 07/08/2011 for the course MHF 3202 taught by Professor Larson during the Spring '09 term at University of Florida.

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