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Definition

A (positive) pre-measure is an extended real valued countably additive set function defined on a ring, [ilmath]\mathcal{R} [/ilmath], of subsets of [ilmath]X[/ilmath]:

  • [ilmath]\bar{\mu}:\mathcal{R}\rightarrow\mathbb{R}_{\ge0}\cup\{+\infty\} [/ilmath]

See also

References

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