Category:Lebesgue Measures

This category contains results about Lebesgue Measures.
Definitions specific to this category can be found in Definitions/Lebesgue Measures.

Let $\JJ_{ho}^n$ be the set of half-open $n$-rectangles.

Let $\map \BB {\R^n}$ be the Borel $\sigma$-algebra on $\R^n$.

Let $\lambda^n$ be the $n$-dimensional Lebesgue pre-measure on $\JJ_{ho}^n$.

A measure $\mu$ extending $\lambda^n$ to $\map \BB {\R^n}$ is called $n$-dimensional Lebesgue measure.