smooth Poincaré conjecture in dimension 4
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
smooth category
|
| gptkbp:contrastsWith |
gptkb:topological_Poincaré_conjecture_in_dimension_4
Poincaré conjecture in higher dimensions |
| gptkbp:dimensions |
4
|
| gptkbp:field |
gptkb:topology
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
smooth Poincaré conjecture in dimension 4
|
| gptkbp:implies |
no exotic smooth structures on the 4-sphere
|
| gptkbp:notablePerson |
gptkb:Michael_Freedman
gptkb:Simon_Donaldson gptkb:Andrew_Casson gptkb:Clifford_Taubes gptkb:Robion_Kirby |
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:4-manifold gptkb:exotic_4-sphere smooth structures on spheres h-cobordism theorem in dimension 4 |
| gptkbp:sentence |
Every smooth 4-manifold homotopy equivalent to the 4-sphere is diffeomorphic to the 4-sphere.
|
| gptkbp:status |
open
|
| gptkbp:bfsParent |
gptkb:The_smooth_4-dimensional_Schoenflies_problem
|
| gptkbp:bfsLayer |
7
|