Algebra of sets/Infobox
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< Algebra of sets
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Algebra of sets | |
[ilmath]\mathcal{A}\subseteq\mathcal{P}(X)[/ilmath] For an algebra of sets, [ilmath]\mathcal{A} [/ilmath] on [ilmath]X[/ilmath] | |
Defining properties: | |
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1) | [ilmath]\forall A\in\mathcal{A}[A^C\in\mathcal{A}][/ilmath] |
2) | [ilmath]\forall A,B\in\mathcal{A}[A\cup B\in\mathcal{A} ][/ilmath] |