Generalized Poincaré conjecture
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
geometric topology
manifold theory |
| gptkbp:concerns |
n-dimensional manifolds
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:formedBy |
gptkb:Henri_Poincaré
|
| https://www.w3.org/2000/01/rdf-schema#label |
Generalized Poincaré conjecture
|
| gptkbp:influencedBy |
gptkb:Poincaré_conjecture
|
| gptkbp:provenBy |
gptkb:Michael_Freedman
gptkb:Stephen_Smale gptkb:Grigori_Perelman n = 4 n ≥ 5 n = 3 |
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
|
| gptkbp:sentence |
Every closed, simply connected n-manifold is homeomorphic to the n-sphere.
|
| gptkbp:status |
proven
|
| gptkbp:yearProved |
1961
1982 2003 |
| gptkbp:bfsParent |
gptkb:Poincaré_conjecture_(higher_dimensions)
|
| gptkbp:bfsLayer |
6
|