Question: 1.*8. Let?T be a B.P. generated by an arbitrary collection of sets {Een ex E A}. Prove that for each E E ~, there exists

1.*8. Let?T be a B.P. generated by an arbitrary collection of sets {Een ex E A}. Prove that for each E E ~, there exists a countable subcollection {Eaj' j >

I} (depending on E) such that E belongs already to the B.F. generated by thIS subcollection. [HINT: Consider the class of all sets with the asserted property and show that it is a B.P. containing each Ea.]

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