Let mu be a measure on a ring R and mu^(E)=infsumn=1^inftymu(En):Enin R, Esubseteqcup En on H(R). Then:

(B) mu^ is an outer measure on H(R)

Q74Section II (Mathematics)74 of 145

The countable-cover infimum defines the induced outer measure

Let $\mu$ be a measure on a ring R and $\mu^*(E)=\inf\bigl\{\sum_{n=1}^\infty\mu(E_n):E_n\in R, E\subseteq\bigcup E_n\bigr\}$ on H(R). Then:

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