Question

Show by example that even if {An} is a σ−Algebras for every n


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Answer 1

1.1. A set of sets A is a σ-algebra if and only if (i) Ω∈A, (ii) A∈A implies Ac∈A, and (iii) if An∈A for n∈N then ∪nAn∈A.

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Answer 2

Answer:

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