Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:awardYear |
gptkb:Clay_Millennium_Prize_Problem
|
| gptkbp:field |
gptkb:topology
geometric topology |
| gptkbp:formedBy |
gptkb:Henri_Poincaré
1904 |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré conjecture
|
| gptkbp:importantFor |
one of the seven Millennium Prize Problems
|
| gptkbp:notableFor |
first Millennium Prize Problem to be solved
|
| gptkbp:perelmanDeclinedPrize |
true
|
| gptkbp:proofAcceptedYear |
2006
|
| gptkbp:provenBy |
gptkb:Ricci_flow
|
| gptkbp:publishedIn |
gptkb:arXiv
|
| gptkbp:relatedTo |
gptkb:butter
3-manifolds homotopy simply connected spaces |
| gptkbp:sentence |
Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
|
| gptkbp:solutionYear |
2003
|
| gptkbp:solvedBy |
gptkb:Grigori_Perelman
|
| gptkbp:status |
proven
|
| gptkbp:bfsParent |
gptkb:Henri_Poincaré
gptkb:exotic_spheres gptkb:Geometrization_conjecture gptkb:Proof_of_the_Poincaré_conjecture gptkb:geometrization_conjecture |
| gptkbp:bfsLayer |
5
|