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Poincaré conjecture

theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere
Intangible theorem Q203586
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Summary

Poincaré conjecture is a theorem[1]. It ranks in the top 0.69% of theorem entities by monthly Wikipedia readership (16,741 views/month, #9 of 1,306).[2]

Key Facts

  • Discoverer or inventor: Henri Poincaré[3]
  • Named after: Henri Poincaré[4]
  • Part of: Millennium Problems[5]
  • Proved by: Grigori Perelman[6]
  • Uses: Ricci flow[7]
  • Studied by: algebraic topology[8]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[9]
  • Maintained by WikiProject: WikiProject Mathematics[10]

Why It Matters

Poincaré conjecture has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[11] It is known by 89 alternative names across languages and contexts.[12]

Related Entities

Grigori Perelman Henri Poincaré Michael Freedman

References

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

Direct Wikidata claims

  1. [3] ↑ . MathWorld. Retrieved . mathworld.wolfram.com. Provenance: wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . 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). Poincaré conjecture. Retrieved October 14, 2026, from https://4ort.xyz/entity/poincar-conjecture
MLA “Poincaré conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/poincar-conjecture.
BibTeX @misc{4ortxyz_poincar-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poincaré conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/poincar-conjecture}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Poincaré conjecture — https://4ort.xyz/entity/poincar-conjecture (retrieved 2026-10-14)

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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. 20w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Studied by → algebraic topology
    Proved by → Grigori Perelman
    Instance of → theorem, conjecture
    Maintained by wikiproject → WikiProject Mathematics
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ National library of israel j9u id: 987007559245005171, mv to monolingual text names on J9U statements"
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