Consider ((mathbb{R}, mathscr{B}(mathbb{R}))) and (u: mathbb{R} ightarrow mathbb{R}). Show that ({x} in sigma(u)) for all (x in

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Consider $(\mathbb{R}, \mathscr{B}(\mathbb{R}))$ and $u: \mathbb{R} ightarrow \mathbb{R}$. Show that $\{x\} \in \sigma(u)$ for all $x \in \mathbb{R}$ if, and only if, $u$ is injective.

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:03 AM

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Consider ((mathbb{R}, mathscr{B}(mathbb{R}))) and (u: mathbb{R} ightarrow mathbb{R}). Show that ({x} in sigma(u)) for all (x in

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Assume first that u is injective This means that every point in the r...View the full answer

Measures Integrals And Martingales

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