Question

Prove intersection of sigma algebra is sigma algebra

Answer 1

Prove Intersection of -algebras is a -algebra and the powerset is a -algebra. Fix a set . A -algebra on is a non-empty collection of subsets of closed under taking complements and countable unions. I'd like to prove that (1) for finite , is a -algebra and that (2) the intersection of a family of -algebras is a -algebra ...

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