What is recorded here?
Constructed smooth seven-dimensional manifolds homeomorphic to the sphere but with differentiable structures not equivalent to the standard one, establishing exotic smooth structures on the 7-sphere.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Milnor’s sole-author 1956 Annals of Mathematics paper, pages 399–405. It does not absorb later classification of homotopy spheres, surgery theory, higher-dimensional results or every exotic manifold.
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People and systems
John Milnor
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Documented countries / regions: United States
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English catalogue narrative
Milnor: manifolds homeomorphic to the 7-sphere
Constructed smooth seven-dimensional manifolds homeomorphic to the sphere but with differentiable structures not equivalent to the standard one, establishing exotic smooth structures on the 7-sphere.
Scientific scope
The record is Milnor’s sole-author 1956 Annals of Mathematics paper, pages 399–405. It does not absorb later classification of homotopy spheres, surgery theory, higher-dimensional results or every exotic manifold.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
John Milnor
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.