The smooth 4-dimensional s-cobordism theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:context |
smooth category
|
| gptkbp:contrastsWith |
gptkb:higher-dimensional_smooth_s-cobordism_theorem
gptkb:topological_4-dimensional_s-cobordism_theorem |
| gptkbp:dimensions |
4
|
| gptkbp:field |
gptkb:topology
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
The smooth 4-dimensional s-cobordism theorem
|
| gptkbp:namedAfter |
gptkb:s-cobordism
|
| gptkbp:relatedTo |
gptkb:h-cobordism_theorem
gptkb:s-cobordism_theorem gptkb:4-manifold_theory smooth structures on 4-manifolds exotic smooth structures |
| gptkbp:sentence |
It is unknown whether every smooth s-cobordism between simply-connected smooth 4-manifolds is smoothly trivial.
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:Mathematical_problems_for_the_next_century
|
| gptkbp:bfsLayer |
6
|