Sigma-algebra/Infobox
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< Sigma-algebra
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| Sigma algebra | |
[math]\forall A\in\mathcal{A}[A^C\in\mathcal{A}][/math] For a [ilmath]\sigma[/ilmath]-algebra [ilmath](X,\mathcal{A}\subseteq\mathcal{P}(X))[/ilmath]
[math]\forall\{A_n\}_{n=1}^\infty\subseteq\mathcal{A}\left[\bigcup_{n=1}^\infty A_n\in\mathcal{A}\right][/math] |
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Requires fleshing out, sigma-algebras have products and subspace constructions too! Add trace sigma-algebra, pre-image sigma-algebra, some of the properties like being closed under set-subtraction, containing both [ilmath]X[/ilmath] and [ilmath]\emptyset[/ilmath]
