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- Vector_fields_on_spheres abstract "In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the hairy ball theorem, and early work on the classification of division algebras.Specifically, the question is how many linearly independent vector fields can be constructed on a sphere in N-dimensional Euclidean space. A definitive answer was made in 1962 by Frank Adams. It was already known, by direct construction using Clifford algebras, that there were at least ρ(N)-1 such fields (see definition below). Adams applied homotopy theory and topological K-theory to prove that no more independent vector fields could be found.".
- Vector_fields_on_spheres wikiPageExternalLink haynes-notes.pdf.
- Vector_fields_on_spheres wikiPageID "3100908".
- Vector_fields_on_spheres wikiPageLength "4087".
- Vector_fields_on_spheres wikiPageOutDegree "34".
- Vector_fields_on_spheres wikiPageRevisionID "669349701".
- Vector_fields_on_spheres wikiPageWikiLink Adolf_Hurwitz.
- Vector_fields_on_spheres wikiPageWikiLink Beno_Eckmann.
- Vector_fields_on_spheres wikiPageWikiLink Category:Differential_topology.
- Vector_fields_on_spheres wikiPageWikiLink Category:Theorems_in_topology.
- Vector_fields_on_spheres wikiPageWikiLink Clifford_algebra.
- Vector_fields_on_spheres wikiPageWikiLink Coding_theory.
- Vector_fields_on_spheres wikiPageWikiLink Diagonal_matrix.
- Vector_fields_on_spheres wikiPageWikiLink Differential_topology.
- Vector_fields_on_spheres wikiPageWikiLink Division_algebra.
- Vector_fields_on_spheres wikiPageWikiLink Euclidean_space.
- Vector_fields_on_spheres wikiPageWikiLink Exotic_sphere.
- Vector_fields_on_spheres wikiPageWikiLink Frank_Adams.
- Vector_fields_on_spheres wikiPageWikiLink Gram–Schmidt_process.
- Vector_fields_on_spheres wikiPageWikiLink Hairy_ball_theorem.
- Vector_fields_on_spheres wikiPageWikiLink Homotopy.
- Vector_fields_on_spheres wikiPageWikiLink Homotopy_theory.
- Vector_fields_on_spheres wikiPageWikiLink Hurwitz_problem.
- Vector_fields_on_spheres wikiPageWikiLink Hypersphere.
- Vector_fields_on_spheres wikiPageWikiLink Johann_Radon.
- Vector_fields_on_spheres wikiPageWikiLink Linear_independence.
- Vector_fields_on_spheres wikiPageWikiLink Mathematics.
- Vector_fields_on_spheres wikiPageWikiLink Matrix_(mathematics).
- Vector_fields_on_spheres wikiPageWikiLink Orthogonal_matrix.
- Vector_fields_on_spheres wikiPageWikiLink Orthonormal_basis.
- Vector_fields_on_spheres wikiPageWikiLink Poincaré–Hopf_index_theorem.
- Vector_fields_on_spheres wikiPageWikiLink Poincaré–Hopf_theorem.
- Vector_fields_on_spheres wikiPageWikiLink Power_of_two.
- Vector_fields_on_spheres wikiPageWikiLink Quadratic_form.
- Vector_fields_on_spheres wikiPageWikiLink Scalar_matrix.
- Vector_fields_on_spheres wikiPageWikiLink Similarity_(geometry).
- Vector_fields_on_spheres wikiPageWikiLink Similarity_transformation_(geometry).
- Vector_fields_on_spheres wikiPageWikiLink Tangent_bundle.
- Vector_fields_on_spheres wikiPageWikiLink Theoretical_physics.
- Vector_fields_on_spheres wikiPageWikiLink Topological_K-theory.
- Vector_fields_on_spheres wikiPageWikiLinkText "Radon–Hurwitz number".
- Vector_fields_on_spheres wikiPageWikiLinkText "Vector fields on spheres".
- Vector_fields_on_spheres wikiPageWikiLinkText "vector field".
- Vector_fields_on_spheres wikiPageWikiLinkText "vector fields on spheres".
- Vector_fields_on_spheres wikiPageWikiLinkText "vector fields on spheres#Radon–Hurwitz numbers".
- Vector_fields_on_spheres hasPhotoCollection Vector_fields_on_spheres.
- Vector_fields_on_spheres wikiPageUsesTemplate Template:Cite_book.
- Vector_fields_on_spheres wikiPageUsesTemplate Template:Cite_web.
- Vector_fields_on_spheres wikiPageUsesTemplate Template:OEIS.
- Vector_fields_on_spheres wikiPageUsesTemplate Template:Refimprove.
- Vector_fields_on_spheres wikiPageUsesTemplate Template:Reflist.
- Vector_fields_on_spheres subject Category:Differential_topology.
- Vector_fields_on_spheres subject Category:Theorems_in_topology.
- Vector_fields_on_spheres hypernym Problem.
- Vector_fields_on_spheres type Article.
- Vector_fields_on_spheres type Disease.
- Vector_fields_on_spheres type Article.
- Vector_fields_on_spheres type Physic.
- Vector_fields_on_spheres type Theorem.
- Vector_fields_on_spheres comment "In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the hairy ball theorem, and early work on the classification of division algebras.Specifically, the question is how many linearly independent vector fields can be constructed on a sphere in N-dimensional Euclidean space. A definitive answer was made in 1962 by Frank Adams.".
- Vector_fields_on_spheres label "Vector fields on spheres".
- Vector_fields_on_spheres sameAs m.08rg9p.
- Vector_fields_on_spheres sameAs Q7917824.
- Vector_fields_on_spheres sameAs Q7917824.
- Vector_fields_on_spheres wasDerivedFrom Vector_fields_on_spheres?oldid=669349701.
- Vector_fields_on_spheres isPrimaryTopicOf Vector_fields_on_spheres.