topological Poincaré conjecture in dimension 4
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:4-manifold_theory
low-dimensional topology |
| gptkbp:dimensions |
4
|
| gptkbp:distinctFrom |
gptkb:smooth_Poincaré_conjecture_in_dimension_4
|
| gptkbp:field |
gptkb:topology
geometric topology |
| https://www.w3.org/2000/01/rdf-schema#label |
topological Poincaré conjecture in dimension 4
|
| gptkbp:implies |
topological 4-sphere recognition
|
| 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:Freedman's_theorem
gptkb:smooth_Poincaré_conjecture_in_dimension_4 |
| gptkbp:bfsLayer |
8
|