Home › Entities › mathematical_concept › Grothendieck topology

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
Press Enter · cited answer in seconds

Grothendieck topology

Summary

Grothendieck topology is a mathematical concept[1]. It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[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 is a type of mathematical object[6].
  • Grothendieck topology's studied by is recorded as category theory[7].
  • Grothendieck topology's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Grothendieck topology's instance of is recorded as mathematical concept[4]. It is a type of mathematical object[6].

Origins

Alexander Grothendieck is named after Grothendieck topology[5].

Why It Matters

Grothendieck topology has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2] It is known by 3 alternative names across languages and contexts.[9]

Related Entities

Alexander Grothendieck

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] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [9] ↑ . 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)

Canonical URL: https://4ort.xyz/entity/grothendieck-topology · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7w ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Named after → —
    Subclass of → —
    Instance of → mathematical concept
    P14534 → CategoryTheory.GrothendieckTopology
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: CategoryTheory.GrothendieckTopology, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.