Hello

Could you plese help me on this exercise?

Let F1 and F2 two sigma algebras of subsets ofand

Prove that is a sigma algebra.

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- Aug 17th 2011, 07:07 AMosodudSigma Algebra Exercise
Hello

Could you plese help me on this exercise?

*Let F1 and F2 two sigma algebras of subsets of**and*

*Prove that is a sigma algebra.* - Aug 17th 2011, 07:35 AMgirdavRe: Sigma Algebra Exercise
Apply the definition. Show that :

(i) ;

(ii) If , show that ;

(iii) Let . Show that . - Aug 17th 2011, 08:27 AMFernandoRevillaRe: Sigma Algebra Exercise
Another way: which by hypothesis is -algebra.

- Aug 17th 2011, 09:35 AMgirdavRe: Sigma Algebra Exercise
We notice that the hypothesis (or ) is necessary: if we consider , and then which is not a -algebra since .