The Geometrization Conjecture
GPTKB entity
Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
3-manifolds
|
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| gptkbp:formedBy |
gptkb:William_Thurston
|
| gptkbp:geometriesInclude |
gptkb:H^2_×_R_geometry
gptkb:Nil_geometry gptkb:S^2_×_R_geometry gptkb:SL(2,R)_geometry gptkb:Euclidean_geometry gptkb:hyperbolic_geometry gptkb:spherical_geometry Sol geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
The Geometrization Conjecture
|
| gptkbp:influenced |
3-manifold theory
geometric topology |
| gptkbp:notableProof |
Grigori Perelman declined Fields Medal
|
| gptkbp:numberOfGeometries |
8
|
| gptkbp:proposedBy |
1970s
|
| gptkbp:provenBy |
gptkb:Grigori_Perelman
gptkb:Ricci_flow_with_surgery |
| gptkbp:recognizedBy |
gptkb:mathematics
|
| gptkbp:relatedTo |
gptkb:Poincaré_Conjecture
|
| gptkbp:state |
Every closed 3-manifold can be decomposed into pieces with uniform geometric structures.
|
| gptkbp:status |
proven
|
| gptkbp:yearProved |
2003
|
| gptkbp:bfsParent |
gptkb:Clay_Mathematics_Monographs
|
| gptkbp:bfsLayer |
6
|