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projective space

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

Summary

projective space ranks in the top 2% of general entities by monthly Wikipedia readership (582 views/month).[1]

Key Facts

  • projective space is a type of toric variety[2].
  • projective space is a type of Grassmannian[3].
  • projective space is a type of rational variety[4].
  • projective space is a type of Proj construction[5].
  • projective space is a type of projective variety[6].
  • projective space is a type of projectivization[7].
  • projective space's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Recorded subclass of include toric variety[2], Grassmannian[3], rational variety[4], Proj construction[5], projective variety[6], and projectivization[7].

Influence

Things named for projective space include projective representation[9].

Why It Matters

projective space ranks in the top 2% of general entities by monthly Wikipedia readership (582 views/month).[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[10] It is known by 3 alternative names across languages and contexts.[11]

Entities named for it include projective representation[9].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [9] ↑ . wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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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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 · 2026-05-26 view diff on Wikidata ↗
    Great russian encyclopedia online id (2017) → 3179323
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007538889805171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.