Poincaré conjecture (3-dimensional)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:awardYear |
gptkb:Clay_Millennium_Prize_(declined_by_Perelman)
Fields Medal (declined by Perelman) |
| gptkbp:concerns |
3-manifolds
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
gptkb:topology
geometric topology |
| gptkbp:formedBy |
gptkb:Henri_Poincaré
1904 |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré conjecture (3-dimensional)
|
| gptkbp:importantFor |
one of the most famous problems in topology
|
| gptkbp:influenced |
geometric analysis
|
| gptkbp:influencedBy |
work of Richard S. Hamilton
|
| gptkbp:partOf |
gptkb:Millennium_Prize_Problems
|
| gptkbp:proofBasedOn |
gptkb:Ricci_flow
gptkb:Hamilton's_program |
| gptkbp:relatedTo |
gptkb:generalized_Poincaré_conjecture
|
| gptkbp:sentence |
Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
|
| gptkbp:solvedBy |
gptkb:Grigori_Perelman
|
| gptkbp:solvedInYear |
2003
|
| gptkbp:status |
proven
|
| gptkbp:bfsParent |
gptkb:Poincaré_conjecture_(higher_dimensions)
|
| gptkbp:bfsLayer |
6
|