higher-dimensional smooth s-cobordism theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
manifolds of dimension at least 5
|
| gptkbp:compatibleWith |
dimension 4
dimension 3 |
| gptkbp:concerns |
gptkb:s-cobordism
|
| gptkbp:field |
gptkb:topology
differential topology |
| gptkbp:generalizes |
gptkb:h-cobordism_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
higher-dimensional smooth s-cobordism theorem
|
| gptkbp:involves |
gptkb:Whitehead_torsion
|
| gptkbp:provenBy |
gptkb:Stephen_Smale
|
| gptkbp:relatedTo |
gptkb:Whitehead_group
surgery theory classification of high-dimensional manifolds |
| gptkbp:state |
an h-cobordism between simply-connected smooth manifolds of dimension at least 5 is trivial if and only if the Whitehead torsion vanishes
|
| gptkbp:yearProved |
1960s
|
| gptkbp:bfsParent |
gptkb:The_smooth_4-dimensional_s-cobordism_theorem
|
| gptkbp:bfsLayer |
7
|