simplicial set

construction in categorical homotopy theory; contravariant functor from the simplex category to the category of sets
Thing general Q1467124
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simplicial set

Summary

simplicial set ranks in the top 2% of general entities by monthly Wikipedia readership (98 views/month).[1]

Key Facts

  • simplicial set is credited with the discovery of Samuel Eilenberg[2].
  • simplicial set is credited with the discovery of Joseph Abraham Zilber[3].
  • simplicial set's subclass of is recorded as functor[4].
  • simplicial set's subclass of is recorded as presheaf[5].
  • simplicial set's Freebase ID is recorded as /m/03_kcm[6].
  • simplicial set's Stack Exchange tag is recorded as https://mathoverflow.net/tags/simplicial-stuff[7].
  • simplicial set's defining formula is recorded as X\colon\triangle^{\operatorname{op}}\to\operatorname{Set}[8].
  • simplicial set's studied by is recorded as homotopy theory[9].
  • simplicial set's studied by is recorded as algebraic topology[10].
  • simplicial set's nLab ID is recorded as simplicial set[11].
  • simplicial set's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • simplicial set's Microsoft Academic ID is recorded as 155366967[13].
  • simplicial set's in defining formula is recorded as \operatorname{Set}[14].
  • simplicial set's in defining formula is recorded as X[15].
  • simplicial set's in defining formula is recorded as \triangle[16].
  • simplicial set's in defining formula is recorded as ^{\operatorname{op}}[17].
  • simplicial set's OpenAlex ID is recorded as C155366967[18].

Body

Works and Contributions

Credited discoveries include Samuel Eilenberg[2], a mathematician[19], 1913–1998[20], of Poland[21], awarded the Guggenheim Fellowship[22], specialised in topology[23] and Joseph Abraham Zilber[3], a mathematician[24], 1923–2009[25], of United States[26], specialised in algebraic topology[27].

Why It Matters

simplicial set ranks in the top 2% of general entities by monthly Wikipedia readership (98 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[28] It is known by 8 alternative names across languages and contexts.[29]

References

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

Direct Wikidata claims

  1. [2] ↑ . History of Homological Algebra. wikidata.org.
  2. [3] ↑ . History of Homological Algebra. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . Freebase Data Dumps. wikidata.org.
  6. [7] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [19] ↑ . Wikidata. wikidata.org. → on this site
  2. [20] ↑ . Wikidata. wikidata.org. → on this site
  3. [21] ↑ . Wikidata. wikidata.org. → on this site
  4. [22] ↑ . Wikidata. wikidata.org. → on this site
  5. [23] ↑ . Wikidata. wikidata.org. → on this site
  6. [24] ↑ . Wikidata. wikidata.org. → on this site
  7. [25] ↑ . Wikidata. wikidata.org. → on this site
  8. [26] ↑ . Wikidata. wikidata.org. → on this site
  9. [27] ↑ . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] ↑ . Wikidata sitelinks. wikidata.org.
  3. [29] ↑ . 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). simplicial set. Retrieved October 2, 2026, from https://4ort.xyz/entity/simplicial-set
MLA “simplicial set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/simplicial-set.
BibTeX @misc{4ortxyz_simplicial-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{simplicial set}}, year = {2026}, url = {https://4ort.xyz/entity/simplicial-set}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): simplicial set — https://4ort.xyz/entity/simplicial-set (retrieved 2026-10-02)

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