Suppose C is a class of subsets of 22 and suppose BC 2 satisfies B = o(C). Show that there exists a countable class CB C C such that B € σ (CB). Hint: Define 9:= {BC: 3 countable CB C C such that B E O (CB)}. Show that G is a o-field that contains C.

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12. Suppose C is a class of subsets of $2 and suppose B C 2 satisfies B = o(C).
Show that there exists a countable class CB C C such that BE σ (CB).
Hint: Define
9:= {BC: 3 countable CB C C such that B € σ (CB)}.
Show that G is a o-field that contains C.
Transcribed Image Text:12. Suppose C is a class of subsets of $2 and suppose B C 2 satisfies B = o(C). Show that there exists a countable class CB C C such that BE σ (CB). Hint: Define 9:= {BC: 3 countable CB C C such that B € σ (CB)}. Show that G is a o-field that contains C.
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