Question
Let Q be the set of all rational numbers in R. (a) Show that Q is a null set in (R, BR, L). (b)
Let Q be the set of all rational numbers in R. (a) Show that Q is a null set in (R, BR, L). (b) Show that Q is a F-set. (c) Show that there exists a Gs-set G such that GQ and pL(G) = 0. (d) Show that the set of all irrational numbers in R is a G-set.
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
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