generalized Poincaré conjecture
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
n-dimensional manifolds
|
| gptkbp:dimensions |
n = 4
n ≥ 5 n = 3 n ≥ 1 |
| gptkbp:field |
gptkb:topology
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
generalized 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:seeAlso |
gptkb:h-cobordism_theorem
gptkb:Poincaré_conjecture gptkb:sphere_theorem homotopy sphere |
| gptkbp:state |
Every closed, simply connected n-manifold is homeomorphic to the n-sphere
|
| gptkbp:yearProved |
1961
1982 2003 |
| gptkbp:bfsParent |
gptkb:Poincaré_conjecture_(3-dimensional)
|
| gptkbp:bfsLayer |
7
|