Theorem 5.4.4 ([Theorem 7.8, Fol99]).label Let $X$ be a topological space and $\mu:\cali{B}_{X}\to[0,\infty]$ be a Borel measure. If:

1. (1)

   $X$ is an LCH space.

2. (2)

   Every open set of $X$ is $\s$-compact

3. (3)

   For any $K\suf X$ compact, $\mu(K)<\infty$

then $\mu$ is a regular measure.