Prove that the intersection of any number of o-algebras is a o-algebra.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Prove that (in
Transcribed Image Text:Prove that the intersection of any number of o-algebras is a o-algebra.
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In mathematical analysis and in probability theory, a σ-algebra on a set X is a collection \Sigma of subsets of X satisfying the following conditions: it includes X itself, it is closed under complement, it is closed under countable unions, and it is closed under countable intersections.
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