Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:dimensions |
4
|
| gptkbp:field |
differential topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
smooth Poincaré conjecture
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:exotic_4-sphere smooth 4-manifold topological Poincaré conjecture |
| gptkbp:sentence |
Every smooth 4-manifold homotopy equivalent to the 4-sphere is diffeomorphic to the 4-sphere.
|
| gptkbp:solvedInDimensions |
dimensions other than 4
|
| gptkbp:status |
open problem (as of 2024)
|
| gptkbp:unsolvedInDimension |
4
|
| gptkbp:bfsParent |
gptkb:The_smooth_Schoenflies_problem
|
| gptkbp:bfsLayer |
7
|