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- Exotic_R4 abstract "In mathematics, an exotic R4 is a differentiable manifold that is homeomorphic but not diffeomorphic to the Euclidean space R4. The first examples were found in 1982 by Michael Freedman and others, by using the contrast between Freedman's theorems about topological 4-manifolds, and Simon Donaldson's theorems about smooth 4-manifolds. There is a continuum of non-diffeomorphic differentiable structures of R4, as was shown first by Clifford Taubes.Prior to this construction, non-diffeomorphic smooth structures on spheres — exotic spheres — were already known to exist, although the question of the existence of such structures for the particular case of the 4-sphere remained open (and still remains open as of 2014). For any positive integer n other than 4, there are no exotic smooth structures on Rn; in other words, if n ≠ 4 then any smooth manifold homeomorphic to Rn is diffeomorphic to Rn.".
- Exotic_R4 wikiPageExternalLink 1214440981.
- Exotic_R4 wikiPageExternalLink 1214440258.
- Exotic_R4 wikiPageExternalLink displayAbstract?fromPage=online&aid=2053736&fulltextType=RA&fileId=S0305004100036756.
- Exotic_R4 wikiPageID "2180637".
- Exotic_R4 wikiPageLength "6207".
- Exotic_R4 wikiPageOutDegree "22".
- Exotic_R4 wikiPageRevisionID "675186454".
- Exotic_R4 wikiPageWikiLink 4-sphere.
- Exotic_R4 wikiPageWikiLink Atlas_(topology).
- Exotic_R4 wikiPageWikiLink Cardinality_of_the_continuum.
- Exotic_R4 wikiPageWikiLink Casson_handle.
- Exotic_R4 wikiPageWikiLink Category:4-manifolds.
- Exotic_R4 wikiPageWikiLink Category:Differential_structures.
- Exotic_R4 wikiPageWikiLink Clifford_Taubes.
- Exotic_R4 wikiPageWikiLink Cobordism.
- Exotic_R4 wikiPageWikiLink Diffeomorphism.
- Exotic_R4 wikiPageWikiLink Differentiable_manifold.
- Exotic_R4 wikiPageWikiLink Differentiable_structure.
- Exotic_R4 wikiPageWikiLink Differential_structure.
- Exotic_R4 wikiPageWikiLink Euclidean_space.
- Exotic_R4 wikiPageWikiLink Exotic_sphere.
- Exotic_R4 wikiPageWikiLink Generalized_Poincaré_conjecture.
- Exotic_R4 wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Exotic_R4 wikiPageWikiLink H-cobordism.
- Exotic_R4 wikiPageWikiLink Homeomorphic.
- Exotic_R4 wikiPageWikiLink Homeomorphism.
- Exotic_R4 wikiPageWikiLink Mathematics.
- Exotic_R4 wikiPageWikiLink Michael_Freedman.
- Exotic_R4 wikiPageWikiLink N-sphere.
- Exotic_R4 wikiPageWikiLink Simon_Donaldson.
- Exotic_R4 wikiPageWikiLink Smooth_structure.
- Exotic_R4 wikiPageWikiLinkText "Exotic R4".
- Exotic_R4 wikiPageWikiLinkText "exotic R4".
- Exotic_R4 wikiPageWikiLinkText "exotic smooth structure".
- Exotic_R4 wikiPageWikiLinkText "exotic smooth structures".
- Exotic_R4 first "Laurence R.".
- Exotic_R4 first "Michael Hartley".
- Exotic_R4 hasPhotoCollection Exotic_R4.
- Exotic_R4 issn "22".
- Exotic_R4 issue "1".
- Exotic_R4 journal "Journal of Differential Geometry".
- Exotic_R4 last "Freedman".
- Exotic_R4 last "Taylor".
- Exotic_R4 mr "857376".
- Exotic_R4 pages "69".
- Exotic_R4 title "A universal smoothing of four-space".
- Exotic_R4 url 1214440258.
- Exotic_R4 volume "24".
- Exotic_R4 wikiPageUsesTemplate Template:Cite_book.
- Exotic_R4 wikiPageUsesTemplate Template:Cite_journal.
- Exotic_R4 wikiPageUsesTemplate Template:Harvs.
- Exotic_R4 wikiPageUsesTemplate Template:MathSciNet.
- Exotic_R4 year "1986".
- Exotic_R4 subject Category:4-manifolds.
- Exotic_R4 subject Category:Differential_structures.
- Exotic_R4 hypernym Manifold.
- Exotic_R4 type Article.
- Exotic_R4 type Article.
- Exotic_R4 comment "In mathematics, an exotic R4 is a differentiable manifold that is homeomorphic but not diffeomorphic to the Euclidean space R4. The first examples were found in 1982 by Michael Freedman and others, by using the contrast between Freedman's theorems about topological 4-manifolds, and Simon Donaldson's theorems about smooth 4-manifolds.".
- Exotic_R4 label "Exotic R4".
- Exotic_R4 sameAs Ekzotika_R4.
- Exotic_R4 sameAs Exotische_R4.
- Exotic_R4 sameAs m.06sxj6.
- Exotic_R4 sameAs Q2436606.
- Exotic_R4 sameAs Q2436606.
- Exotic_R4 wasDerivedFrom Exotic_R4?oldid=675186454.
- Exotic_R4 isPrimaryTopicOf Exotic_R4.