algebra

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Algebra

A nonempty collection of sets $A \subset P (R)$ is an algebra if

(closure under complements) $E \in A ⟹ E^{c} \in A$
(closure under finite unions) $E_{1}, \dots, E_{n} \in A ⟹ ⋃_{k = 1}^{n} E_{k} \in A$

File	Last Modified
Functional Analysis Lecture 8	2025-07-14
algebras have closure under finite disjoint countable unions	2025-07-08
Functional Analysis Lecture 7	2025-07-08
measurable sets form a sigma algebra	2025-07-08
sigma-algebra	2025-07-01

algebra

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