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σ-algebra

Set

context $X$
postulate $ \Sigma\in \mathrm{SigmaAlgebra}(X) $
postulate $\Sigma\subseteq \mathcal P(X)$
postulate $ \Sigma\ne\emptyset $
context $E\in\Sigma$
$A\in\mathrm{Sequence}(\Sigma)$
range $n\in \mathbb N$
postulate $ X\smallsetminus E \in \Sigma $
postulate $ \bigcup_{i=1}^n A_i \in \Sigma $

Ramifications

Reference

Wikipedia: Sigma-algebra

Parents

Subset of

Equivalent to

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