Consider the mapping X defined on ((, A) onto (' = X((), the image of ( under
Question:
C' = {B ( ('; B = X(A), A ( A}.
Then, by means of an example, show that C' need not be a σ-field.
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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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