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σ-algebra).

σ-algebra

noun

(mathematical analysis) A collection of subsets of a given set, such that the empty set is part of this collection, the collection is closed under complements (with respect to the given set) and the collection is closed under countable unions.

The σ-algebra is a fundamental concept in measure theory.

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σ-algebras

noun

plural of σ-algebra

σ-algebras are important in measure theory.

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Borel σ-algebra

noun

(mathematical analysis) The smallest σ-algebra which contains the topology of a given topological space.

The Borel σ-algebra is a fundamental concept in measure theory.

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Borel σ-algebras

noun

plural of Borel σ-algebra

Borel σ-algebras are essential in measure theory.

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