Let (X=mathbb{R}). For which (sigma)-algebras are the following set functions measures: (i) (quad mu(A)= begin{cases}0, & text

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Let $X=\mathbb{R}$. For which $\sigma$-algebras are the following set functions measures:

(i) $\quad \mu(A)= \begin{cases}0, & \text { if } A=\emptyset \\ 1, & \text { if } A eq \emptyset\end{cases}$

(ii) $\quad u(A)= \begin{cases}0, & \text { if } A \text { is finite, } \\ 1, & \text { if } A^{c} \text { is finite? }\end{cases}$

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

Question Posted: Jan 23, 2024 10:00 AM

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Let (X=mathbb{R}). For which (sigma)-algebras are the following set functions measures: (i) (quad mu(A)= begin{cases}0, & text

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i ii If R then u is a measure But as so...View the full answer

Measures Integrals And Martingales

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