Last Updated
：2025/12/06
π-system
Noun
Japanese Meaning
集合論、測度論、確率論において、与えられた集合の部分集合からなる、空でない集合族であり、非空の有限個の部分集合の交わりも必ずその集合族に含まれるもの。
（ plural ）
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(set theory, measure theory, probability theory) A non-empty collection of subsets of a given set Ώ that is closed under non-empty finite intersections.
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π-system
To apply Dynkin's lemma, first verify that the family of measurable sets forms a π-system.
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To apply Dynkin's lemma, first verify that the family of measurable sets forms a π-system.
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