Verify that the family (mathscr{A}_{tau}) defined in Definition 23.5 is indeed a (sigma)-algebra. Data from definition 23.5

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Verify that the family \(\mathscr{A}_{\tau}\) defined in Definition 23.5 is indeed a \(\sigma\)-algebra.

Data from definition 23.5

Definition 23.5 Let (X, A, An, ) be a o-finite filtered measure space. A stop- ping time is a map 7: XNo U

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