Borel σ-algebra

noun

The smallest σ-algebra which contains the topology of a given topological space.

Meanings

nounBorel σ-algebra (plural Borel σ-algebras)

plural Borel σ-algebras

  1. mathematical analysisThe smallest σ-algebra which contains the topology of a given topological space.

Origin

Named after French mathematician Émile Borel (1871–1956), who pioneered measure theory.

Full word history & related roots →

Translations

Bulgarian Борелова σ-алгебра
  • Борелова σ-алгебра (Borelova σ-algebra)Translations
Finnish Borelin sigma-algebra
  • Borelin sigma-algebraTranslations
French tribu borélienne
  • tribu borélienneTranslations
German Borel-σ-Algebra, borelsche σ-Algebra
  • Borel-σ-AlgebraTranslations
  • borelsche σ-AlgebraTranslations
Polish σ-algebra borelowska
  • σ-algebra borelowskaTranslations
Cite this entry
APA

Borel σ-algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Borel%20%CF%83-algebra

MLA

“Borel σ-algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Borel%20%CF%83-algebra. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Borel σ-algebra,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Borel%20%CF%83-algebra.

Source: Borel σ-algebra on Wiktionary, CC BY-SA 4.0.