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Euclidean space

generalization of Euclidean geometry to higher-dimensional vector spaces
Thing general Q17295
Euclidean space
Jorge Stolfi · Public Domain · Wikimedia
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Summary

Euclidean space ranks in the top 1% of general entities by monthly Wikipedia readership (6,209 views/month).[1]

Key Facts

  • Named after: Euclid[2], space[3]
  • Subclass of: geometric structure[4]
  • Opposite of: curved space[5]
  • Different from: Euclidean geometry[6], Euclidean three-dimensional space[7]
  • Studied by: mathematics[8]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[9]
  • Maintained by WikiProject: WikiProject Mathematics[10]
  • Euler characteristic: 1[11]
  • Underlying structure(s): Hilbert space[12], analytic manifold[13], real vector space[14], finite dimension vector space[15], Riemannian manifold[16], Lie group[17]

Why It Matters

Euclidean space has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[18] It is known by 40 alternative names across languages and contexts.[19]

Related Entities

Euclid mathematics

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Integrated Authority File. Retrieved . 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] ↑ . 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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . 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). Euclidean space. Retrieved October 16, 2026, from https://4ort.xyz/entity/euclidean-space
MLA “Euclidean space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 2026, https://4ort.xyz/entity/euclidean-space.
BibTeX @misc{4ortxyz_euclidean-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euclidean space}}, year = {2026}, url = {https://4ort.xyz/entity/euclidean-space}, note = {Accessed: 2026-10-16}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euclidean space — https://4ort.xyz/entity/euclidean-space (retrieved 2026-10-16)

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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. 15w ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    P14534 → EuclideanSpace
    "/* wbcreateclaim-create:1| */ P14534: EuclideanSpace, #quickstatements; #temporary_batch_1783013068346"
  2. 18w ago · Jindřich Rubeš · 2026-06-12 view diff on Wikidata ↗
    Svkkl authority id → 0208094-euklidovske-prostory
    On focus list of wikimedia project → Wikipedia:Vital articles/Level/4
    Studied by → mathematics
    Euler characteristic → {'amount': '+1'}
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ Svkkl authority id: 0208094-euklidovske-prostory, [[:toollabs:quickstatements/#/batch/259493|batch #259493]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.