Thurston's hyperbolization theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Haken manifolds
atoroidal 3-manifolds |
| gptkbp:author |
gptkb:William_Thurston
|
| gptkbp:describes |
conditions under which a 3-manifold admits a hyperbolic structure
|
| gptkbp:field |
3-manifold theory
geometric topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Thurston's hyperbolization theorem
|
| gptkbp:implies |
many 3-manifolds are hyperbolic
|
| gptkbp:influenced |
Perelman's proof of the geometrization conjecture
|
| gptkbp:influencedBy |
gptkb:Mostow_rigidity_theorem
|
| gptkbp:relatedTo |
gptkb:Geometrization_conjecture
gptkb:Hyperbolic_geometry 3-manifolds |
| gptkbp:status |
proven
|
| gptkbp:yearProposed |
1978
|
| gptkbp:bfsParent |
gptkb:Mostow_rigidity_theorem
|
| gptkbp:bfsLayer |
6
|