Borel set

noun

Any of the members of a Borel σ-algebra.

“A Lebesgue measurable set is expressible as a union of a Borel set and a Lebesgue null set.”

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Meanings

nounBorel set (plural Borel sets)

plural Borel sets

  1. mathematical analysisAny of the members of a Borel σ-algebra.

    A Lebesgue measurable set is expressible as a union of a Borel set and a Lebesgue null set.

Origin

Named after Émile Borel.

Full word history & related roots →

Translations

Bulgarian Борелово множество
  • Борелово множество (Borelovo množestvo)Translations
Finnish Borel-joukko
  • Borel-joukkoTranslations
German Borel-Menge, Borelsche Menge
  • Borel-MengeTranslations
  • Borelsche MengeTranslations
Polish zbiór borelowski
  • zbiór borelowskiTranslations
Cite this entry
APA

Borel set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Borel%20set

MLA

“Borel set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Borel%20set. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Borel set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Borel%20set.

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