For an arbitrary set ( containing at least two points, consider the trivial field F = {(,
Question:
(i) Determine the set function μ* on P((), as is given in the definition just prior. (Which μ* is, actually, an outer measure)
(ii) Show that the σ-field of μ*-measureable sets, A*, say, is the trivial σ-field, so that A* is strictly contained is P(().
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i In the first place it is clear that 0 and 1 Next let A The only covering of A by member of ...View the full answer
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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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