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Zermelo-Fraenkel set theory
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Sigma-algebra
Set of sigma-algebras
Formulation 0
Let $X$ be a
D11: Set
.
The
set of sigma-algebras
on $X$ is the
D11: Set
\begin{equation} \{ \mathcal{F} \subseteq \mathcal{P}(X) \mid \mathcal{F} \text{ is a sigma-algebra on } X \} \end{equation}
Child definitions
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D318: Generated sigma-algebra