Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Exotic_sphere> ?p ?o }
- 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 pcity-lec.pdf.
- Exotic_sphere wikiPageExternalLink item?id=BSMF_1959__87__439_0.
- Exotic_sphere wikiPageExternalLink SW1.30-2.1.12.
- Exotic_sphere wikiPageExternalLink Exotic_spheres.
- Exotic_sphere wikiPageExternalLink References.
- Exotic_sphere wikiPageExternalLink exotic.htm.
- Exotic_sphere wikiPageExternalLink www.nilesjohnson.net.
- Exotic_sphere wikiPageExternalLink seven-manifolds.html.
- Exotic_sphere wikiPageExternalLink Groups%20of%20homotopy%20spheres%20I.pdf.
- Exotic_sphere wikiPageID "1114931".
- Exotic_sphere wikiPageLength "22107".
- Exotic_sphere wikiPageOutDegree "73".
- Exotic_sphere wikiPageRevisionID "679286094".
- Exotic_sphere wikiPageWikiLink Abelian_group.
- Exotic_sphere wikiPageWikiLink Alexander_Trick.
- Exotic_sphere wikiPageWikiLink Alexanders_trick.
- Exotic_sphere wikiPageWikiLink American_Journal_of_Mathematics.
- Exotic_sphere wikiPageWikiLink Annals_of_Mathematics.
- Exotic_sphere wikiPageWikiLink Atlas_(topology).
- Exotic_sphere wikiPageWikiLink Ball_(mathematics).
- Exotic_sphere wikiPageWikiLink Bernoulli_number.
- Exotic_sphere wikiPageWikiLink Boundary_(topology).
- Exotic_sphere wikiPageWikiLink Brieskorn_manifold.
- Exotic_sphere wikiPageWikiLink Brieskorn_sphere.
- Exotic_sphere wikiPageWikiLink Category:Differential_structures.
- Exotic_sphere wikiPageWikiLink Category:Differential_topology.
- Exotic_sphere wikiPageWikiLink Category:Spheres.
- Exotic_sphere wikiPageWikiLink Category:Surgery_theory.
- Exotic_sphere wikiPageWikiLink Cerf_theory.
- Exotic_sphere wikiPageWikiLink Clutching_construction.
- Exotic_sphere wikiPageWikiLink Complex_manifold.
- Exotic_sphere wikiPageWikiLink Connected_sum.
- Exotic_sphere wikiPageWikiLink Continuous_function.
- Exotic_sphere wikiPageWikiLink Critical_point_(mathematics).
- Exotic_sphere wikiPageWikiLink Cyclic_group.
- Exotic_sphere wikiPageWikiLink Derivative.
- Exotic_sphere wikiPageWikiLink Diffeomorphic.
- Exotic_sphere wikiPageWikiLink Diffeomorphism.
- Exotic_sphere wikiPageWikiLink Differentiable_manifold.
- Exotic_sphere wikiPageWikiLink Differential_topology.
- Exotic_sphere wikiPageWikiLink Edwin_E._Moise.
- Exotic_sphere wikiPageWikiLink Exotic_R4.
- Exotic_sphere wikiPageWikiLink Exotic_sphere.
- Exotic_sphere wikiPageWikiLink Fiber_bundle.
- Exotic_sphere wikiPageWikiLink Finite_group.
- Exotic_sphere wikiPageWikiLink Grigori_Perelman.
- Exotic_sphere wikiPageWikiLink H-cobordism.
- Exotic_sphere wikiPageWikiLink Homeomorphic.
- Exotic_sphere wikiPageWikiLink Homeomorphism.
- Exotic_sphere wikiPageWikiLink Homotopy_groups_of_spheres.
- Exotic_sphere wikiPageWikiLink Homotopy_sphere.
- Exotic_sphere wikiPageWikiLink Index_of_a_subgroup.
- Exotic_sphere wikiPageWikiLink J-homomorphism.
- Exotic_sphere wikiPageWikiLink John_Milnor.
- Exotic_sphere wikiPageWikiLink Kervaire_invariant.
- Exotic_sphere wikiPageWikiLink Kervaire_invariant_problem.
- Exotic_sphere wikiPageWikiLink Kirby–Siebenmann_class.
- Exotic_sphere wikiPageWikiLink Kirby–Siebenmann_invariant.
- Exotic_sphere wikiPageWikiLink Michael_Freedman.
- Exotic_sphere wikiPageWikiLink Moises_theorem.
- Exotic_sphere wikiPageWikiLink Monoid.
- Exotic_sphere wikiPageWikiLink Morse_function.
- Exotic_sphere wikiPageWikiLink Morse_theory.
- Exotic_sphere wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Exotic_sphere wikiPageWikiLink Orientability.
- Exotic_sphere wikiPageWikiLink Parallelizable_manifold.
- Exotic_sphere wikiPageWikiLink Piecewise_linear_manifold.
- Exotic_sphere wikiPageWikiLink Poincaré_conjecture.
- Exotic_sphere wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences.
- Exotic_sphere wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Exotic_sphere wikiPageWikiLink Pseudoisotopy_theorem.
- Exotic_sphere wikiPageWikiLink Quaternion.
- Exotic_sphere wikiPageWikiLink Seven-dimensional_space.
- Exotic_sphere wikiPageWikiLink Smooth_function.
- Exotic_sphere wikiPageWikiLink Smooth_structure.
- Exotic_sphere wikiPageWikiLink Smoothness.
- Exotic_sphere wikiPageWikiLink Sphere.
- Exotic_sphere wikiPageWikiLink Springer-Verlag.
- Exotic_sphere wikiPageWikiLink Springer_Science+Business_Media.
- Exotic_sphere wikiPageWikiLink Stable_homotopy_groups_of_spheres.
- Exotic_sphere wikiPageWikiLink Stephen_Smale.
- Exotic_sphere wikiPageWikiLink Surgery_exact_sequence.
- Exotic_sphere wikiPageWikiLink Surgery_theory.
- Exotic_sphere wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Exotic_sphere wikiPageWikiLink Tuple.
- Exotic_sphere wikiPageWikiLinkText "".
- Exotic_sphere wikiPageWikiLinkText "Exotic sphere".
- Exotic_sphere wikiPageWikiLinkText "Exotic sphere#Gluck twists".
- Exotic_sphere wikiPageWikiLinkText "Gluck twist".
- Exotic_sphere wikiPageWikiLinkText "Gluck twists".
- Exotic_sphere wikiPageWikiLinkText "exotic (4''n'' − 1)-spheres".
- Exotic_sphere wikiPageWikiLinkText "exotic 7-spheres".
- Exotic_sphere wikiPageWikiLinkText "exotic smooth structure".
- Exotic_sphere wikiPageWikiLinkText "exotic sphere".
- Exotic_sphere wikiPageWikiLinkText "exotic spheres".
- Exotic_sphere wikiPageWikiLinkText "group of twisted spheres".
- Exotic_sphere wikiPageWikiLinkText "non-equivalent differentiable structures".
- Exotic_sphere wikiPageWikiLinkText "twisted spheres".