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