Let (T:(X, mathscr{A}) ightarrowleft(X^{prime}, mathscr{A}^{prime}ight)) be a measurable map. Under which circumstances is the family of sets

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Let \(T:(X, \mathscr{A}) ightarrow\left(X^{\prime}, \mathscr{A}^{\prime}ight)\) be a measurable map. Under which circumstances is the family of sets \(T(\mathscr{A})\) a \(\sigma\)-algebra?

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