A D85: Unsigned basic measure $\mu : \mathcal{F} \to [0, \infty]$ is a

**zero measure**on $M$ if and only if \begin{equation} \forall \, E \in \mathcal{F} : \mu(E) = 0 \end{equation}

Definition D1680

Zero measure

Formulation 0

Let $M = (X, \mathcal{F})$ be a D1108: Measurable space.

A D85: Unsigned basic measure $\mu : \mathcal{F} \to [0, \infty]$ is a**zero measure** on $M$ if and only if
\begin{equation}
\forall \, E \in \mathcal{F} : \mu(E) = 0
\end{equation}

A D85: Unsigned basic measure $\mu : \mathcal{F} \to [0, \infty]$ is a