Definition:Extended Real Sigma-Algebra

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Definition

Let $\left({\overline{\R}, \tau}\right)$ be the extended real number space.


The extended real $\sigma$-algebra $\overline{\mathcal B}$ is the Borel $\sigma$-algebra $\mathcal B \left({\overline{\R}, \tau}\right)$.


Also known as

As usual, one may also write sigma-algebra instead of $\sigma$-algebra.


Also see


Sources