Home › Entities › mathematical_concept › topos

topos

category admitting all finite limits and power objects, that can be viewed as either as a mathematical universe (replacing the category of sets) or as a generalized space (considered as a generalization of the category of sheaves on a space)
Intangible mathematical_concept Q2143621
Press Enter · cited answer in seconds

topos

Summary

topos is a mathematical concept[1]. topos ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (1,109 views/month).[2]

Key Facts

  • topos is credited with the discovery of Alexander Grothendieck[3].
  • topos's instance of is recorded as mathematical concept[4].
  • topos is a type of quasitopos[5].
  • topos's studied by is recorded as topos theory[6].
  • topos's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • topos's generalization of is recorded as topological space[8].

Body

Definition and Type

topos's instance of is recorded as mathematical concept[4]. topos is a type of quasitopos[5].

Why It Matters

topos ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (1,109 views/month).[2] topos has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[9] topos is known by 7 alternative names across languages and contexts.[10]

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] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . 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). topos. Retrieved May 3, 2026, from https://4ort.xyz/entity/topos
MLA “topos.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/topos.
BibTeX @misc{4ortxyz_topos_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{topos}}, year = {2026}, url = {https://4ort.xyz/entity/topos}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): topos — https://4ort.xyz/entity/topos (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/topos · 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. 5w ago · Twofivesixbot bot · 2026-05-28 view diff on Wikidata ↗
    Studied by → topos theory
    Maintained by wikiproject → WikiProject Mathematics
    Discoverer or inventor → Alexander Grothendieck
    Generalization of → topological space
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007541465105171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.