Let B1 and B2 be two σ-algebras on a set X. Define B =B1 ∩ B2 byA ∈ B if and only if A ∈ B1 and A ∈ B2 .Show that B is a σ-algebra on X. (4) Let B, and B2 be two a-algebras on a set X. Define B BịnB2...

Let B1 and B2 be two σ-algebras on a set X. Define B =
B1 ∩ B2 by
A ∈ B if and only if A ∈ B1 and A ∈ B2 .
Show that B is a σ-algebra on X.

(4) Let B, and B2 be two a-algebras on a set X. Define B<br>BịnB2 by<br>A EB<br>if and only if<br>A E Bị and AEB.<br>Show that B is a o-algebra on X.<br>

Extracted text: (4) Let B, and B2 be two a-algebras on a set X. Define B BịnB2 by A EB if and only if A E Bị and AEB. Show that B is a o-algebra on X.

Jun 05, 2022

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Let B1 and B2 be two σ-algebras on a set X. Define B =B1 ∩ B2 byA ∈ B if and only if A ∈ B1 and A ∈ B2 .Show that B is a σ-algebra on X. (4) Let B, and B2 be two a-algebras on a set X. Define B BịnB2...

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