Definition 20.5.3 (Regular).label Let $X$ be a topological space and $\mu: \cb_{X} \to [0, \infty]$ be a measure, then $\mu$ is regular if it is inner regular and outer regular on all Borel sets.
Definition 20.5.3 (Regular).label Let $X$ be a topological space and $\mu: \cb_{X} \to [0, \infty]$ be a measure, then $\mu$ is regular if it is inner regular and outer regular on all Borel sets.
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