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/Part 4: Measure Theory and Integration/Chapter 21: Set Systems/Section 21.2: The Borel $\sigma$-Algebra

Definition 21.2.2 (Borel $\sigma$-Algebra on $\ol{\real}$).label The family

\[\cb_{\ol{\real}}= \bracsn{E \subset \ol \real| E \cap \real \in \cb_\real}\]

is the Borel $\sigma$-algebra on $\ol{\real}$.

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Jerry's Digital Garden

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