ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F736 on D963: Empty sigma-algebra
F736
Formulation 0
Let $\emptyset$ be the D13: Empty set.
A D11: Set $\mathcal{F} \subseteq \mathcal{P}(\emptyset)$ is an empty sigma-algebra on $\emptyset$ if and only if \begin{equation} \mathcal{F} = \{ \emptyset \} \end{equation}