Thurston's geometrization theorem
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
3-manifold theory
geometric topology |
| gptkbp:concerns |
3-manifolds
|
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| gptkbp:influenced |
gptkb:Poincaré_conjecture
|
| gptkbp:proposedBy |
gptkb:William_Thurston
|
| gptkbp:provenBy |
gptkb:Grigori_Perelman
|
| gptkbp:relatedTo |
gptkb:Nil_geometry
gptkb:SL(2,R)_geometry gptkb:Euclidean_geometry gptkb:hyperbolic_geometry gptkb:spherical_geometry gptkb:Ricci_flow Sol geometry product geometry H^2 × R product geometry S^2 × R |
| gptkbp:state |
Every compact 3-manifold can be decomposed into pieces that each have one of eight types of geometric structures.
|
| gptkbp:yearProposed |
1978
|
| gptkbp:yearProved |
2003
|
| gptkbp:bfsParent |
gptkb:William_Thurston
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Thurston's geometrization theorem
|