topological 4-dimensional Poincaré conjecture
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological manifolds
|
| gptkbp:dimensions |
4
|
| gptkbp:distinctFrom |
smooth 4-dimensional Poincaré conjecture
|
| gptkbp:field |
gptkb:topology
geometric topology |
| https://www.w3.org/2000/01/rdf-schema#label |
topological 4-dimensional Poincaré conjecture
|
| gptkbp:provenBy |
gptkb:Michael_Freedman
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
|
| gptkbp:sentence |
Every closed, simply-connected, topological 4-manifold is homeomorphic to the 4-sphere.
|
| gptkbp:status |
proven
|
| gptkbp:yearProved |
1982
|
| gptkbp:bfsParent |
gptkb:Smooth_four-dimensional_Poincaré_conjecture
|
| gptkbp:bfsLayer |
7
|