Grothendieck topology

structure on a category C which makes the objects of C act like the open sets of a topological space
Intangible mathematical_concept Q1062242
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Grothendieck topology

Summary

Grothendieck topology is a mathematical concept[1]. It draws 136 Wikipedia views per month (mathematical_concept category, ranking #180 of 1,007).[2]

Key Facts

  • Grothendieck topology is credited with the discovery of Alexander Grothendieck[3].
  • Grothendieck topology's instance of is recorded as mathematical concept[4].
  • Alexander Grothendieck is named after Grothendieck topology[5].
  • Grothendieck topology's subclass of is recorded as mathematical object[6].
  • Grothendieck topology's Freebase ID is recorded as /m/03cv9[7].
  • Grothendieck topology's defining formula is recorded as F(X) \rightarrow \prod_{\alpha\in A} F(X_\alpha) {{{} \atop \longrightarrow}\atop{\longrightarrow \atop {}}} \prod_{\alpha,\beta \in A} F(X_\alpha\times_X X_\beta)[8].
  • Grothendieck topology's studied by is recorded as category theory[9].
  • Grothendieck topology's nLab ID is recorded as Grothendieck topology[10].
  • Grothendieck topology's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Grothendieck topology's Microsoft Academic ID is recorded as 57115121[12].
  • Grothendieck topology's OpenAlex ID is recorded as C57115121[13].

Body

Works and Contributions

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

Why It Matters

Grothendieck topology draws 136 Wikipedia views per month (mathematical_concept category, ranking #180 of 1,007).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[14] It is known by 3 alternative names across languages and contexts.[15]

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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). Grothendieck topology. Retrieved May 3, 2026, from https://4ort.xyz/entity/grothendieck-topology
MLA “Grothendieck topology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/grothendieck-topology.
BibTeX @misc{4ortxyz_grothendieck-topology_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Grothendieck topology}}, year = {2026}, url = {https://4ort.xyz/entity/grothendieck-topology}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Grothendieck topology — https://4ort.xyz/entity/grothendieck-topology (retrieved 2026-05-03)

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