Definition:Lebesgue Sigma-Algebra
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Definition
Let $\tau$ be the Euclidean topology on $\R^n$.
Let $\NN$ be the collection of null sets in $\R^n$.
The Lebesgue sigma-algebra on $\R^n$ is the sigma-algebra generated by the set $\tau \cup \NN$.
Source of Name
This entry was named for Henri Léon Lebesgue.
Sources
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