Let (S) be any set and (mathscr{E}) be a family of subsets of (S). Show that [sigma(mathscr{E})=bigcup{sigma(mathscr{C}):

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Let $S$ be any set and $\mathscr{E}$ be a family of subsets of $S$. Show that

\[\sigma(\mathscr{E})=\bigcup\{\sigma(\mathscr{C}): \mathscr{C} \subset \mathscr{E}, \mathscr{C} \text { is countable }\}\]

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

ISBN: 9783110741254

3rd Edition

Authors: René L. Schilling, Björn Böttcher

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Question Posted: Mar 16, 2024 11:00 PM

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Let (S) be any set and (mathscr{E}) be a family of subsets of (S). Show that [sigma(mathscr{E})=bigcup{sigma(mathscr{C}):

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

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