manifold

topological space that at each point resembles Euclidean space (unspecified type)
Thing general Q203920
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manifold

Summary

manifold ranks in the top 0.76% of general entities by monthly Wikipedia readership (3,918 views/month, #595 of 77,819).[1]

Key Facts

  • manifold is a type of topological space[2].
  • manifold is a type of Hausdorff space[3].
  • manifold is a type of second-countable space[4].
  • manifold is a type of non-Hausdorff manifold[5].
  • manifold's Commons category is recorded as Manifolds[6].
  • manifold's topic's main category is recorded as Category:Manifolds[7].
  • manifold's described by source is recorded as New Encyclopedic Dictionary[8].
  • manifold's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[9].
  • manifold's has characteristic is recorded as dimension[10].
  • manifold's has characteristic is recorded as Euler characteristic[11].
  • manifold's different from is recorded as Q9323213[12].
  • manifold's studied by is recorded as manifold theory[13].
  • manifold's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[14].
  • manifold's maintained by WikiProject is recorded as WikiProject Mathematics[15].

Body

Definition and Type

Recorded subclass of include topological space[2], Hausdorff space[3], second-countable space[4], and non-Hausdorff manifold[5].

Why It Matters

manifold ranks in the top 0.76% of general entities by monthly Wikipedia readership (3,918 views/month, #595 of 77,819).[1] manifold has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[16] manifold is known by 30 alternative names across languages and contexts.[17]

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.
  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.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). manifold. Retrieved April 10, 2026, from https://4ort.xyz/entity/manifold
MLA “manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/manifold.
BibTeX @misc{4ortxyz_manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{manifold}}, year = {2026}, url = {https://4ort.xyz/entity/manifold}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): manifold — https://4ort.xyz/entity/manifold (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. 2d ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Subclass of
    Topic's main category Category:Manifolds
    Described by source New Encyclopedic Dictionary, Great Soviet Encyclopedia (1926–1947)
    Maintained by wikiproject WikiProject Mathematics
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|5 */ [[Property:P2347]]: 28181, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.