projective space

space of 1-dimensional linear subspaces (lines passing through the origin) in a vector space
Thing general Q877775
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projective space

Summary

projective space ranks in the top 2% of general entities by monthly Wikipedia readership (295 views/month).[1]

Key Facts

  • projective space's Library of Congress authority ID is recorded as sh85107383[2].
  • projective space's Bibliothèque nationale de France ID is recorded as 122863779[3].
  • projective space's subclass of is recorded as toric variety[4].
  • projective space's subclass of is recorded as Grassmannian[5].
  • projective space's subclass of is recorded as rational variety[6].
  • projective space's subclass of is recorded as Proj construction[7].
  • projective space's subclass of is recorded as projective variety[8].
  • projective space's subclass of is recorded as projectivization[9].
  • projective space's BNCF Thesaurus ID is recorded as 27871[10].
  • projective space's Freebase ID is recorded as /m/01k44_[11].
  • projective space's defining formula is recorded as \mathbb P^n_K = \operatorname{Proj}K[x_0,x_1,\dotsc,x_n][12].
  • projective space's BabelNet ID is recorded as 01763546n[13].
  • projective space's MathWorld ID is recorded as ProjectiveSpace[14].
  • projective space's Quora topic ID is recorded as Projective-Space[15].
  • projective space's Open Library subject ID is recorded as projective_spaces[16].
  • projective space's nLab ID is recorded as projective space[17].
  • projective space's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • projective space's Microsoft Academic ID is recorded as 75280867[19].
  • projective space's Encyclopedia of Mathematics article ID is recorded as Projective_space[20].
  • projective space's PlanetMath ID is recorded as ProjectiveSpace[21].
  • projective space's National Library of Israel J9U ID is recorded as 987007538889805171[22].
  • projective space's Treccani's Enciclopedia della Matematica ID is recorded as spazio-proiettivo[23].
  • projective space's Enciclopedia della Scienza e della Tecnica ID is recorded as spazio-proiettivo[24].
  • projective space's OpenAlex ID is recorded as C75280867[25].
  • projective space's Great Russian Encyclopedia portal ID is recorded as proektivnoe-prostranstvo-258e40[26].

Body

Works and Contributions

Things named for projective space include projective representation[27].

Why It Matters

projective space ranks in the top 2% of general entities by monthly Wikipedia readership (295 views/month).[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[28] It is known by 3 alternative names across languages and contexts.[29]

Entities named for it include projective representation[27].

References

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

Direct Wikidata claims

  1. [2] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  2. [3] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . Nuovo soggettario. wikidata.org.
  10. [11] . Freebase Data Dumps. wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . BabelNet. wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . Quora. 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] . National Library of Israel. wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  25. [26] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [27] . 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). projective space. Retrieved April 10, 2026, from https://4ort.xyz/entity/projective-space
MLA “projective space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/projective-space.
BibTeX @misc{4ortxyz_projective-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{projective space}}, year = {2026}, url = {https://4ort.xyz/entity/projective-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): projective space — https://4ort.xyz/entity/projective-space (retrieved 2026-04-10)

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