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 (246 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's GND ID is recorded as 4185717-3[5].
  • topos's Library of Congress authority ID is recorded as sh85136094[6].
  • topos's Bibliothèque nationale de France ID is recorded as 11969142g[7].
  • topos's subclass of is recorded as quasitopos[8].
  • topos's Freebase ID is recorded as /m/01g2pp[9].
  • topos's Encyclopædia Britannica Online ID is recorded as topic/topos[10].
  • topos's FAST ID is recorded as 1152703[11].
  • topos's studied by is recorded as topos theory[12].
  • topos's Google Knowledge Graph ID is recorded as /g/128dgz813[13].
  • topos's MathWorld ID is recorded as Topos[14].
  • topos's JSTOR topic ID is recorded as mathematical-topoi[15].
  • topos's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • topos's Microsoft Academic ID is recorded as 182141236[17].
  • topos's generalization of is recorded as topological space[18].
  • topos's National Library of Israel J9U ID is recorded as 987007541465105171[19].
  • topos's KBpedia ID is recorded as ToposTheory[20].
  • topos's OpenAlex ID is recorded as C182141236[21].
  • topos's ScienceDirect topic ID is recorded as mathematics/topos[22].
  • topos's Yale LUX ID is recorded as concept/88c33795-243b-48cd-b602-531250479863[23].

Body

Works and Contributions

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

Why It Matters

topos ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (246 views/month).[2] topos has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[24] topos is known by 7 alternative names across languages and contexts.[25]

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] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. 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.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  18. [20] . KBpedia. Retrieved . wikidata.org.
  19. [21] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. wikidata.org.
  3. [25] . 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: