Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
classification of manifolds
study of smooth structures on spheres |
| gptkbp:category |
gptkb:butter
gptkb:Riemannian_manifold |
| gptkbp:defines |
smooth manifolds that are homeomorphic but not diffeomorphic to standard spheres
|
| gptkbp:dimensions |
exist in dimensions greater than or equal to 7
|
| gptkbp:discoveredBy |
gptkb:John_Milnor
|
| gptkbp:discoveredIn |
1956
|
| gptkbp:do_not_exist_in_dimension |
2
1 3 4 5 6 |
| gptkbp:field |
differential geometry
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
exotic spheres
|
| gptkbp:notableExample |
gptkb:7-dimensional_sphere
|
| gptkbp:number_of_distinct_types_in_dimension_7 |
28
|
| gptkbp:relatedTo |
gptkb:h-cobordism_theorem
gptkb:homotopy_spheres gptkb:Poincaré_conjecture smooth structure differentiable structures |
| gptkbp:studiedBy |
gptkb:topology
geometric topology |
| gptkbp:bfsParent |
gptkb:John_W._Milnor
gptkb:John_Milnor |
| gptkbp:bfsLayer |
4
|