Definition:Lebesgue Sigma-Algebra

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.