Definition 19.1.6 (Generated $\sigma$-Algebra).label Let $X$ be a set and $\ce \subset 2^{X}$, then the $\sigma$-algebra $\sigma(\ce)$ generated by $\ce$ is the smallest $\sigma$-algebra on $X$ containing $\ce$.
Definition 19.1.6 (Generated $\sigma$-Algebra).label Let $X$ be a set and $\ce \subset 2^{X}$, then the $\sigma$-algebra $\sigma(\ce)$ generated by $\ce$ is the smallest $\sigma$-algebra on $X$ containing $\ce$.
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