# Category:Lebesgue Measure

This category contains results about Lebesgue Measure.

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

Let $\mathcal B \left({\R^n}\right)$ be the Borel $\sigma$-algebra on $\R^n$.

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

Any measure $\mu$ extending $\lambda^n$ to $\mathcal B \left({\R^n}\right)$ is called $n$-dimensional Lebesgue measure.

## Pages in category "Lebesgue Measure"

The following 3 pages are in this category, out of 3 total.