Poincaré conjecture
theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere
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Poincaré conjecture
Summary
Poincaré conjecture is a theorem[1]. It ranks in the top 0.69% of theorem entities by monthly Wikipedia readership (5,076 views/month, #9 of 1,306).[2]
Key Facts
- Poincaré conjecture is credited with the discovery of Henri Poincaré[3].
- Poincaré conjecture's instance of is recorded as theorem[4].
- Henri Poincaré is named after Poincaré conjecture[5].
- Poincaré conjecture is part of Millennium Problems[6].
- Poincaré conjecture's proved by is recorded as Grigori Perelman[7].
- Poincaré conjecture's uses is recorded as Ricci flow[8].
- Poincaré conjecture's studied by is recorded as algebraic topology[9].
- Poincaré conjecture's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[10].
- Poincaré conjecture's maintained by WikiProject is recorded as WikiProject Mathematics[11].
Body
Definition and Type
Poincaré conjecture's instance of is recorded as theorem[4].
Origins
Henri Poincaré is named after Poincaré conjecture[5].
Use and Application
Poincaré conjecture is part of Millennium Problems[6].
Why It Matters
Poincaré conjecture ranks in the top 0.69% of theorem entities by monthly Wikipedia readership (5,076 views/month, #9 of 1,306).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[12] It is known by 57 alternative names across languages and contexts.[13]