Smooth four-dimensional Poincaré conjecture
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:Riemannian_manifold
|
| gptkbp:dimensions |
4
|
| gptkbp:field |
gptkb:topology
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Smooth four-dimensional Poincaré conjecture
|
| gptkbp:proposedBy |
gptkb:John_Milnor
|
| gptkbp:relatedTo |
gptkb:4-sphere
gptkb:Poincaré_conjecture gptkb:exotic_4-sphere gptkb:topological_4-dimensional_Poincaré_conjecture |
| gptkbp:sentence |
Every smooth 4-manifold homotopy equivalent to the 4-sphere is diffeomorphic to the 4-sphere.
|
| gptkbp:solvedBy |
topological category
|
| gptkbp:status |
open
|
| gptkbp:unsolvedIn |
smooth category
|
| gptkbp:bfsParent |
gptkb:Mathematical_problems_for_the_next_century
|
| gptkbp:bfsLayer |
6
|