Borel set

set that can be constructed from open or closed sets by repeatedly taking countable unions and intersections
Thing general Q21086747
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Borel set

Summary

Borel set ranks in the top 2% of general entities by monthly Wikipedia readership (235 views/month).[1]

Key Facts

  • Émile Borel is named after Borel set[2].
  • Borel set's subclass of is recorded as Lebesgue-measurable set[3].
  • Borel set's subclass of is recorded as element[4].
  • Borel set's part of is recorded as list of properties of sets of reals[5].
  • Borel set's part of is recorded as list of types of sets[6].
  • Borel set's Gran Enciclopèdia Catalana ID is recorded as 0011356[7].
  • Borel set's different from is recorded as Borel algebra[8].
  • Borel set's Google Knowledge Graph ID is recorded as /g/121y9t0x[9].
  • Borel set's MathWorld ID is recorded as BorelSet[10].
  • Borel set's JSTOR topic ID is recorded as borel-sets[11].
  • Borel set's nLab ID is recorded as Borel subset[12].
  • Borel set's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Borel set's ProofWiki ID is recorded as Definition:Borel_Sigma-Algebra/Borel_Set[14].
  • Borel set's Encyclopedia of Mathematics article ID is recorded as Borel_set[15].
  • Borel set's Treccani's Enciclopedia della Matematica ID is recorded as insiemi-di-borel[16].
  • Borel set's Gran Enciclopèdia Catalana ID is recorded as conjunt-de-borel[17].

Why It Matters

Borel set ranks in the top 2% of general entities by monthly Wikipedia readership (235 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[18] It is known by 8 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Borel set. Retrieved April 11, 2026, from https://4ort.xyz/entity/borel-set
MLA “Borel set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/borel-set.
BibTeX @misc{4ortxyz_borel-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Borel set}}, year = {2026}, url = {https://4ort.xyz/entity/borel-set}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Borel set — https://4ort.xyz/entity/borel-set (retrieved 2026-04-11)

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