Peeling theorem

Template:Lowercase Template:Orphan In mathematics, in the field of measure theory, τ-additivity is a certain property of measures on topological spaces.

A measure µ on a space X, defined on a sigma-algebra Σ is said to be τ-additive, if for any upward-directed family $\mathcal{𝒢}\subseteq \mathrm{\Sigma }$ of nonempty open sets, such that its union is in Σ, the measure of the union is the supremum of measures of elements of $\mathcal{𝒢}$, i.e.:

$\mu (\bigcup \mathcal{𝒢})={\sup }_{G\in \mathcal{𝒢}}\mu (G)$

References

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