202409110409

Tags : Measure Theoretic Probability

Semifield

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Let $\Omega$ be a non empty set. A bag $S$ of subsets of $\Omega$ is called a Semifield if

• If $\varnothing$ and $\Omega \in S$
• If $A\in S$ then $A^C$ is a finite disjoint union of elements in $S$
• $S$ is closed under finite intersection.

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References

Field (Measure Theory)