20. In (0, 1], let B be the class of sets that either (a) are of...
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20. In (0, 1], let B be the class of sets that either (a) are of the first category or (b) have complement of the first category. Show that B is a o-field. For A E B, define P(A) to be 0 in case (a) and 1 in case (b). Is P a-additive? 20. In (0, 1], let B be the class of sets that either (a) are of the first category or (b) have complement of the first category. Show that B is a o-field. For A E B, define P(A) to be 0 in case (a) and 1 in case (b). Is P a-additive?
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Related Book For
An Introduction to Measure Theoretic Probability
ISBN: 978-0128000427
2nd edition
Authors: George G. Roussas
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