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- Exotic_sphere 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.".
- Exotic_sphere wikiPageExternalLink rtx110600804p.pdf.
- Exotic_sphere wikiPageExternalLink SW1.30-2.1.12.
- Exotic_sphere wikiPageExternalLink Exotic_spheres.
- Exotic_sphere wikiPageExternalLink References.
- Exotic_sphere wikiPageExternalLink pcity-lec.pdf.
- Exotic_sphere wikiPageExternalLink exotic.htm.
- Exotic_sphere wikiPageExternalLink www.nilesjohnson.net.
- Exotic_sphere wikiPageExternalLink seven-manifolds.html.
- Exotic_sphere wikiPageExternalLink item?id=BSMF_1959__87__439_0.
- Exotic_sphere wikiPageID "1114931".
- Exotic_sphere wikiPageRevisionID "603818807".
- Exotic_sphere align "right".
- Exotic_sphere authorlink "John Milnor".
- Exotic_sphere authorlink "Michel Kervaire".
- Exotic_sphere first "Egbert".
- Exotic_sphere first "John".
- Exotic_sphere first "Kevin".
- Exotic_sphere first "Michael".
- Exotic_sphere first "Michel".
- Exotic_sphere first "Robert".
- Exotic_sphere first "Scott".
- Exotic_sphere first "Yu.B.".
- Exotic_sphere hasPhotoCollection Exotic_sphere.
- Exotic_sphere id "M/m063800".
- Exotic_sphere last "Brieskorn".
- Exotic_sphere last "Freedman".
- Exotic_sphere last "Gompf".
- Exotic_sphere last "Kervaire".
- Exotic_sphere last "Milnor".
- Exotic_sphere last "Morrison".
- Exotic_sphere last "Rudyak".
- Exotic_sphere last "Walker".
- Exotic_sphere quote "-50.0".
- Exotic_sphere title "Milnor sphere".
- Exotic_sphere txt "yes".
- Exotic_sphere width "33.0".
- Exotic_sphere year "1956".
- Exotic_sphere year "1963".
- Exotic_sphere year "1966".
- Exotic_sphere year "2010".
- Exotic_sphere subject Category:Differential_structures.
- Exotic_sphere subject Category:Differential_topology.
- Exotic_sphere subject Category:Surgery_theory.
- Exotic_sphere type Artifact100021939.
- Exotic_sphere type DifferentialStructures.
- Exotic_sphere type Object100002684.
- Exotic_sphere type PhysicalEntity100001930.
- Exotic_sphere type Structure104341686.
- Exotic_sphere type Whole100003553.
- Exotic_sphere type YagoGeoEntity.
- Exotic_sphere type YagoPermanentlyLocatedEntity.
- Exotic_sphere 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.".
- Exotic_sphere label "Exotic sphere".
- Exotic_sphere label "Exotische sfeer".
- Exotic_sphere label "Sphère exotique".
- Exotic_sphere sameAs Sphère_exotique.
- Exotic_sphere sameAs Exotische_sfeer.
- Exotic_sphere sameAs m.0478x1.
- Exotic_sphere sameAs Q3105146.
- Exotic_sphere sameAs Q3105146.
- Exotic_sphere sameAs Exotic_sphere.
- Exotic_sphere wasDerivedFrom Exotic_sphere?oldid=603818807.
- Exotic_sphere isPrimaryTopicOf Exotic_sphere.