Given F : R → R {\displaystyle F:R\rightarrow R} nondecreasing and right contiuous, define an outer measure by
where Template:Math
nondecreasing and right contiuous, define an outer measure by
![{\displaystyle \mu _{F}(A)=\inf \left\{\sum _{i}\mu _{F}(\left(a,b\right])\ :\ A\subset \bigcup _{i}\left(a,b\right]\right\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/58a4bdda36095e649c75b403c6476824d041ca67)