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Bottom sigma-algebra
Formulation 0
Let $X$ be a D11: Set.
A D11: Set $\mathcal{F} \subseteq \mathcal{P}(X)$ is a bottom sigma-algebra on $X$ if and only if \begin{equation} \mathcal{F} = \{ \emptyset, X \} \end{equation}
Also known as
Trivial sigma-algebra
Child definitions
» D1917: Bottom measurable space
» D963: Empty sigma-algebra