Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:dimensionRestriction |
dimension at least 5
|
| gptkbp:field |
gptkb:topology
differential topology |
| gptkbp:formedBy |
gptkb:John_Milnor
|
| gptkbp:generalizes |
gptkb:s-cobordism_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
h-cobordism theorem
|
| gptkbp:implies |
gptkb:s-cobordism_theorem
|
| gptkbp:influenced |
surgery theory
cobordism theory high-dimensional topology |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:Whitehead_torsion |
| gptkbp:state |
If M and N are simply connected, compact, smooth n-manifolds (n ≥ 5) and W is an h-cobordism between them, then W is diffeomorphic to M × [0,1]
|
| gptkbp:usedIn |
classification of high-dimensional manifolds
|
| gptkbp:yearProved |
1961
|
| gptkbp:bfsParent |
gptkb:Stephen_Smale
gptkb:Milnor–Kervaire_theorem gptkb:exotic_spheres |
| gptkbp:bfsLayer |
5
|