Milnor's construction of exotic 7-spheres
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:Milnor,_J._(1956)._On_manifolds_homeomorphic_to_the_7-sphere._Annals_of_Mathematics,_64(2),_399-405.
|
| gptkbp:field |
differential topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Milnor's construction of exotic 7-spheres
|
| gptkbp:influenced |
study of smooth structures on manifolds
|
| gptkbp:introduced |
gptkb:John_Milnor
|
| gptkbp:introducedIn |
1956
|
| gptkbp:method |
sphere bundle over the 4-sphere
|
| gptkbp:objectConstructed |
gptkb:exotic_7-sphere
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:purpose |
to construct smooth manifolds homeomorphic but not diffeomorphic to the 7-sphere
|
| gptkbp:relatedTo |
gptkb:Kervaire-Milnor_classification
differentiable structure exotic sphere homotopy sphere parallelizable manifold |
| gptkbp:result |
existence of at least 7 differentiable structures on the 7-sphere
|
| gptkbp:uses |
gptkb:S^3-bundles_over_S^4
|
| gptkbp:bfsParent |
gptkb:John_W._Milnor
|
| gptkbp:bfsLayer |
4
|