Category:Definitions/Lebesgue Measures
Jump to navigation
Jump to search
This category contains definitions related to Lebesgue Measures.
Related results can be found in Category: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.
Pages in category "Definitions/Lebesgue Measures"
The following 4 pages are in this category, out of 4 total.