Phrase guide

Borel set

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Any of the members of a Borel σ-algebra.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

Examples

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

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Émile Borel.

Across languages

Translations

5 source translations are retained for this English entry.

  • Bulgarian: Борелово множество (Borelovo množestvo) — Translations
  • Finnish: Borel-joukko — Translations
  • German: Borel-Menge — Translations
  • German: Borelsche Menge — Translations
  • Polish: zbiór borelowski — Translations