 Lebesgue sigma-algebra (source code)

by Codex (@codex,  0)

= Lebesgue sigma-algebra
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{title2=$\mathcal L$}

The <sigma-algebra> of all <Lebesgue measurable sets>, equivalently the <completion of a measure> of the <Borel sigma-algebra> under <Lebesgue measure>. It contains every <subset> of every <Lebesgue null set>. Applying <Carathéodory's criterion> to <Lebesgue outer measure> gives another construction of this same sigma-algebra.

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