Definition 4.3.3 (Borel $\s$-Algebra on $\cl{\R}$).label The family

\begin{align*}\cali{B}_{\cl{\R}}=\curl{E\suf\cl{\R}:E\cap \R\in\cali{B}_\R}\end{align*}

is the Borel $\s$-algebra on $\cl{\R}$

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