Measurable_Space

Definition

Let $X$ be a set and $\mathcal{A}$ be a sigma-algebra on $X$. The pair $\left. \left( X,\mathcal{A} \right) \right.$ is called a measurable space. If $\mu$ is a measure on $X$, then $\left. \left( X,\mathcal{A},\mu \right) \right.$ is called a measure space.