Grothendieck universe

transitive set closed under the operations of parameterized union, power set and unordered pairs
Intangible mathematical_concept Q1465090
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Grothendieck universe

Summary

Grothendieck universe is a mathematical concept[1]. It draws 70 Wikipedia views per month (mathematical_concept category, ranking #197 of 1,007).[2]

Key Facts

  • Grothendieck universe is credited with the discovery of Alexander Grothendieck[3].
  • Grothendieck universe's instance of is recorded as mathematical concept[4].
  • Alexander Grothendieck is named after Grothendieck universe[5].
  • Grothendieck universe's subclass of is recorded as transitive set[6].
  • Grothendieck universe's Freebase ID is recorded as /m/043hbj[7].
  • Grothendieck universe's different from is recorded as Universum[8].
  • Grothendieck universe's defining formula is recorded as (x\in y\in U\implies x\in U)\land({x,y}\subset U\implies{x,y}\in U)\land(x\in U\implies\mathcal P(x)\in U)\land\left((I\in U\land{x_i}{i\in I}\subset U)\implies\bigcup{i\in I}x_i\in U\right)[9].
  • Grothendieck universe's studied by is recorded as category theory[10].
  • Grothendieck universe's nLab ID is recorded as Grothendieck universe[11].
  • Grothendieck universe's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Grothendieck universe's Microsoft Academic ID is recorded as 2777712643[13].
  • Grothendieck universe's ProofWiki ID is recorded as Definition:Grothendieck_Universe[14].
  • Grothendieck universe's in defining formula is recorded as U[15].
  • Grothendieck universe's in defining formula is recorded as \mathcal P[16].

Body

Works and Contributions

Grothendieck universe is credited with the discovery of Alexander Grothendieck[3].

Why It Matters

Grothendieck universe draws 70 Wikipedia views per month (mathematical_concept category, ranking #197 of 1,007).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[17]

References

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

Direct Wikidata claims

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

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. 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). Grothendieck universe. Retrieved May 3, 2026, from https://4ort.xyz/entity/grothendieck-universe
MLA “Grothendieck universe.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/grothendieck-universe.
BibTeX @misc{4ortxyz_grothendieck-universe_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Grothendieck universe}}, year = {2026}, url = {https://4ort.xyz/entity/grothendieck-universe}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Grothendieck universe — https://4ort.xyz/entity/grothendieck-universe (retrieved 2026-05-03)

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