Types of set algebras/Measure theory summary table
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Measure theory perspective summary table
Closed under | |||||||
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Type | [ilmath]\sigma\in\mathcal{A} [/ilmath] | [ilmath]\bigcap[/ilmath] | [ilmath]\sigma[/ilmath]-[ilmath]\bigcap[/ilmath] | [ilmath]\bigcup[/ilmath] | [ilmath]\sigma[/ilmath]-[ilmath]\bigcup[/ilmath] | [ilmath]-[/ilmath] | [ilmath]C[/ilmath] |
Semi-Ring | |||||||
Ring | |||||||
[ilmath]\sigma[/ilmath]-Ring | |||||||
Algebra | |||||||
Dynkin system | |||||||
[ilmath]\sigma[/ilmath]-Algebra | # | # | X | X | # |