Measure and integration Set systems Concept
Algebra of sets
Summary
An algebra of sets on a set is a family of subsets of that contains . It is closed under complements and finite unions. It is also called a field of sets. Algebras of sets are the natural domain of finitely additive measures. They are also the starting point of Carathéodory's construction of measures.
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About this page
| Tag | PFMGZ7988V |
|---|---|
| URI | m2://PFMGZ7988V |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A05 |
| Specializes | Ring of sets |
| Same as | |
| Changed | 2 November 2026 |
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