Measure and integration Set systems Concept
Pi-system
Summary
A π-system on a set is a nonempty family of subsets that is closed under intersections of two members. It is the kind of generating family used in the uniqueness theorems of measure theory. Two probability measures that agree on a π-system agree on the σ-algebra it generates.
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| Tag | 4W9NM803BB |
|---|---|
| URI | m2://4W9NM803BB |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A05, 60A10 |
| Same as | |
| Changed | 2 November 2026 |
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