sheaf

collection of objects associated to subsets of a space in a manner admitting gluing and restriction
Thing general Q595298
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sheaf

Summary

sheaf ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1]

Key Facts

  • sheaf is credited with the discovery of Jean Leray[2].
  • sheaf's Library of Congress authority ID is recorded as sh85121203[3].
  • sheaf's subclass of is recorded as presheaf[4].
  • sheaf's subclass of is recorded as stack[5].
  • sheaf's time of discovery or invention is recorded as +1947-00-00T00:00:00Z[6].
  • sheaf's Freebase ID is recorded as /m/01kjmy[7].
  • sheaf's Encyclopædia Britannica Online ID is recorded as topic/sheaf[8].
  • sheaf's has characteristic is recorded as global section[9].
  • sheaf's has characteristic is recorded as stalk[10].
  • sheaf's has characteristic is recorded as gluing axiom[11].
  • sheaf's different from is recorded as sheaf[12].
  • sheaf's defining formula is recorded as \begin{align}&F\colon{\rm Open}(X)^{\rm op}\to{\rm Set}\&U=\bigcup_{i\in I}U_i\land s,t\in F(U)\land(\forall i\in I\colon s\restriction U_i=t\restriction U_i)\implies s=t\&U=\bigcup_{i\in I}U_i\land\forall i\in I\colon s_i\in F(U_i)\land\forall i,j\in I\colon s_i\restriction U_i\cap U_j=s_j\restriction U_i\cap U_j\implies\exists s\in F(U)\forall i\in I\colon s_i=s\restriction U_i\end{align}[13].
  • sheaf's studied by is recorded as sheaf theory[14].
  • sheaf's MathWorld ID is recorded as Sheaf[15].
  • sheaf's nLab ID is recorded as sheaf[16].
  • sheaf's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[17].
  • sheaf's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • sheaf's Microsoft Academic ID is recorded as 4017995[19].
  • sheaf's Microsoft Academic ID is recorded as 118497674[20].
  • sheaf's ProofWiki ID is recorded as Definition:Sheaf_on_Topological_Space[21].
  • sheaf's Encyclopedia of Mathematics article ID is recorded as Sheaf[22].
  • sheaf's PlanetMath ID is recorded as Sheaf1[23].
  • sheaf's PlanetMath ID is recorded as Sheaf[24].
  • sheaf's National Library of Israel J9U ID is recorded as 987007536441005171[25].
  • sheaf's OpenAlex ID is recorded as C4017995[26].

Body

Works and Contributions

sheaf is credited with the discovery of Jean Leray[2].

Why It Matters

sheaf ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1] sheaf has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[27] sheaf is known by 4 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . National Library of Israel. wikidata.org.
  25. [26] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). sheaf. Retrieved April 10, 2026, from https://4ort.xyz/entity/sheaf
MLA “sheaf.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/sheaf.
BibTeX @misc{4ortxyz_sheaf_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{sheaf}}, year = {2026}, url = {https://4ort.xyz/entity/sheaf}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): sheaf — https://4ort.xyz/entity/sheaf (retrieved 2026-04-10)

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