Definition 5.4.3 (Regular).label Let $X$ be a topological space and $\mu:\cali{B}_{X}\to[0,\infty]$ be a Borel measure, then $\mu$ is regular if it is inner regular and outer regular on all Borel sets.
Definition 5.4.3 (Regular).label Let $X$ be a topological space and $\mu:\cali{B}_{X}\to[0,\infty]$ be a Borel measure, then $\mu$ is regular if it is inner regular and outer regular on all Borel sets.
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