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- Q3105146 subject Q8376432.
- Q3105146 subject Q8791351.
- Q3105146 subject Q8802316.
- Q3105146 subject Q8826459.
- Q3105146 abstract "In differential topology, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n-sphere. That is, M is a sphere from the point of view of all its topological properties, but carrying a smooth structure that is not the familiar one (hence the name "exotic").The first exotic spheres were constructed by John Milnor (1956) in dimension n = 7 as S3-bundles over S4. He showed that there are at least 7 differentiable structures on the 7-sphere. In any dimension Milnor (1959) showed that the diffeomorphism classes of oriented exotic spheres form the non-trivial elements of an abelian monoid under connected sum, which is a finite abelian group if the dimension is not 4. The classification of exotic spheres by Michel Kervaire and John Milnor (1963) showed that the oriented exotic 7-spheres are the non-trivial elements of a cyclic group of order 28 under the operation of connected sum.".
- Q3105146 wikiPageExternalLink rtx110600804p.pdf.
- Q3105146 wikiPageExternalLink item?id=BSMF_1959__87__439_0.
- Q3105146 wikiPageExternalLink SW1.30-2.1.12.
- Q3105146 wikiPageExternalLink Exotic_spheres.
- Q3105146 wikiPageExternalLink References.
- Q3105146 wikiPageExternalLink pcity-lec.pdf.
- Q3105146 wikiPageExternalLink exotic.htm.
- Q3105146 wikiPageExternalLink www.nilesjohnson.net.
- Q3105146 wikiPageExternalLink seven-manifolds.html.
- Q3105146 wikiPageExternalLink Groups%20of%20homotopy%20spheres%20I.pdf.
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- Q3105146 comment "In differential topology, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n-sphere. That is, M is a sphere from the point of view of all its topological properties, but carrying a smooth structure that is not the familiar one (hence the name "exotic").The first exotic spheres were constructed by John Milnor (1956) in dimension n = 7 as S3-bundles over S4.".
- Q3105146 label "Exotic sphere".