A D1109: Measurable set $E \in \mathcal{F}$ is a

**null measurable set**in $M$ if and only if \begin{equation} \mu(E) = 0 \end{equation}

Definition D1676

Null measurable set

Formulation 0

Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space.

A D1109: Measurable set $E \in \mathcal{F}$ is a**null measurable set** in $M$ if and only if
\begin{equation}
\mu(E) = 0
\end{equation}

A D1109: Measurable set $E \in \mathcal{F}$ is a

Subdefinitions

▶ | D6003: Null event |

Children

▶ | D2801: Conull set |

▶ | D4764: Set of null sets |

▶ | D3802: Subnull set |

Results

▶ | R4503: Countable union of sets of measure zero is of measure zero |