## Lebesgue measure

### Set

context | $p\in \mathbb N$ |

definiendum | $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ |

### Discussion

$\lambda^p:\mathfrak{L}^p\to \overline{\mathbb{R}}$ is the restriction of Lebesgue outer measure to a domain which contains only actually measurable sets.

#### Reference

Wikipedia: Lebesgue measure