# Sigma-Algebra

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Let A be a sigma-algebra on Omega, and let B be an element of A. We denote A|B = A intersection B A E A.

1. Prove that A|B is a sigma-algebra on B.

2. Is is still true if B is not in A? Please prove the answer.

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Let A be a sigma-algebra on , and let B be an element of A. We denote A|B = , A}.

1. Prove that A|B is a sigma-algebra on B.

Proof. We only need to ...

#### Solution Summary

A Sigma-algebra is investigated. The solution is detailed and well presented.

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