Word.ws English Dictionary

σ-algebras

σ-algebras is the plural of σ-algebra.

Meaning of σ-algebra

Noun

σ-algebra (plural σ-algebras)

  1. 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.
    • Consider all the sigma-algebras that contain #92;mathcal#123;F#125; and take their intersection, which we call #92;Sigma, i.e., a subset A#92;subset#92;Omega is in #92;Sigma if and only if A is in every sigma-algebra containing #92;mathcal#123;F#125;. It is easy to check that #92;Sigma is indeed a...2001, Elliott H. Lieb, Michael Loss, Analysis, American Mathematical Society, page 4
    Synonyms:
    σ-field

Phrases with σ-algebras

Questions about σ-algebras

What is σ-algebras the plural of?
Σ-algebras is the plural of σ-algebra.

Words near σ-algebras in the dictionary

  1. π-system
  2. π-systems
  3. πon
  4. σ-additivity
  5. σ-algebra
  6. σ-algebras
  7. σ-compact
  8. σ-finite measure
  9. σ-finite measures
  10. χ² distribution
  11. χ² distributions

Source and license

Adapted from Wiktionary: σ-algebras (page history and authors); σ-algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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