Word.ws English Dictionary

sigma-algebra

sigma-algebra is the alternative spelling 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

Forms of sigma-algebra

pluralsigma-algebras

Questions about sigma-algebra

What is sigma-algebra the alternative spelling of?
Sigma-algebra is the alternative spelling of σ-algebra.

Words near sigma-algebra in the dictionary

  1. sigma additivity
  2. sigma bond
  3. sigma bonds
  4. sigma male
  5. sigma males
  6. sigma-algebra
  7. sigma-delta converter
  8. sigma-delta converters
  9. sigmalike
  10. Sigman
  11. Sigmans

Source and license

Adapted from Wiktionary: sigma-algebra (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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