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- Classifying_space_for_U(n) abstract "In mathematics, the classifying space for the unitary group U(n) is a space BU(n) together with a universal bundle EU(n) such that any hermitian bundle on a paracompact space X is the pull-back of EU(n) by a map X → BU(n) unique up to homotopy.This space with its universal fibration may be constructed as either the Grassmannian of n-planes in an infinite-dimensional complex Hilbert space; or, the direct limit, with the induced topology, of Grassmannians of n planes.Both constructions are detailed here.".
- Classifying_space_for_U(n) wikiPageID "2819900".
- Classifying_space_for_U(n) wikiPageLength "11475".
- Classifying_space_for_U(n) wikiPageOutDegree "53".
- Classifying_space_for_U(n) wikiPageRevisionID "617953966".
- Classifying_space_for_U(n) wikiPageWikiLink Atiyah-Jänich_theorem.
- Classifying_space_for_U(n) wikiPageWikiLink Base_space.
- Classifying_space_for_U(n) wikiPageWikiLink Bott_periodicity_theorem.
- Classifying_space_for_U(n) wikiPageWikiLink CW-structure.
- Classifying_space_for_U(n) wikiPageWikiLink CW_complex.
- Classifying_space_for_U(n) wikiPageWikiLink Category:Homotopy_theory.
- Classifying_space_for_U(n) wikiPageWikiLink Circle_bundle.
- Classifying_space_for_U(n) wikiPageWikiLink Classifying_space.
- Classifying_space_for_U(n) wikiPageWikiLink Classifying_space_for_O(n).
- Classifying_space_for_U(n) wikiPageWikiLink Cohomology.
- Classifying_space_for_U(n) wikiPageWikiLink Compact_space.
- Classifying_space_for_U(n) wikiPageWikiLink Complex_projective_space.
- Classifying_space_for_U(n) wikiPageWikiLink Contractibility_of_unit_sphere_in_Hilbert_space.
- Classifying_space_for_U(n) wikiPageWikiLink Direct_limit.
- Classifying_space_for_U(n) wikiPageWikiLink Euler_class.
- Classifying_space_for_U(n) wikiPageWikiLink Fiber_bundle.
- Classifying_space_for_U(n) wikiPageWikiLink Grassmannian.
- Classifying_space_for_U(n) wikiPageWikiLink Group_action.
- Classifying_space_for_U(n) wikiPageWikiLink Hilbert_space.
- Classifying_space_for_U(n) wikiPageWikiLink Homotopy.
- Classifying_space_for_U(n) wikiPageWikiLink Homotopy_class.
- Classifying_space_for_U(n) wikiPageWikiLink Homotopy_group.
- Classifying_space_for_U(n) wikiPageWikiLink Inner_product.
- Classifying_space_for_U(n) wikiPageWikiLink Inner_product_space.
- Classifying_space_for_U(n) wikiPageWikiLink Integer-valued_polynomial.
- Classifying_space_for_U(n) wikiPageWikiLink Isomorphism_class.
- Classifying_space_for_U(n) wikiPageWikiLink Kronecker_delta.
- Classifying_space_for_U(n) wikiPageWikiLink Kuipers_theorem.
- Classifying_space_for_U(n) wikiPageWikiLink Manifold.
- Classifying_space_for_U(n) wikiPageWikiLink Mathematics.
- Classifying_space_for_U(n) wikiPageWikiLink Maximal_torus.
- Classifying_space_for_U(n) wikiPageWikiLink Multinomial_coefficient.
- Classifying_space_for_U(n) wikiPageWikiLink Multinomial_theorem.
- Classifying_space_for_U(n) wikiPageWikiLink Numerical_polynomial.
- Classifying_space_for_U(n) wikiPageWikiLink Orthonormal.
- Classifying_space_for_U(n) wikiPageWikiLink Orthonormality.
- Classifying_space_for_U(n) wikiPageWikiLink Paracompact_space.
- Classifying_space_for_U(n) wikiPageWikiLink Polynomial.
- Classifying_space_for_U(n) wikiPageWikiLink Polynomials.
- Classifying_space_for_U(n) wikiPageWikiLink Pontryagin_product.
- Classifying_space_for_U(n) wikiPageWikiLink Projective_unitary_group.
- Classifying_space_for_U(n) wikiPageWikiLink Ring_(mathematics).
- Classifying_space_for_U(n) wikiPageWikiLink Splitting_principle.
- Classifying_space_for_U(n) wikiPageWikiLink Symmetric_polynomial.
- Classifying_space_for_U(n) wikiPageWikiLink Symmetric_polynomials.
- Classifying_space_for_U(n) wikiPageWikiLink Topological_K-theory.
- Classifying_space_for_U(n) wikiPageWikiLink Torus.
- Classifying_space_for_U(n) wikiPageWikiLink Total_space.
- Classifying_space_for_U(n) wikiPageWikiLink Unitary_group.
- Classifying_space_for_U(n) wikiPageWikiLink Universal_bundle.
- Classifying_space_for_U(n) wikiPageWikiLink Weyl_group.
- Classifying_space_for_U(n) wikiPageWikiLink Whitehead_theorem.
- Classifying_space_for_U(n) wikiPageWikiLinkText "BU(''n'')".
- Classifying_space_for_U(n) wikiPageWikiLinkText "Classifying space for U(n)".
- Classifying_space_for_U(n) wikiPageWikiLinkText "classifying space for ".
- Classifying_space_for_U(n) wikiPageWikiLinkText "classifying space for U(''n'')".
- Classifying_space_for_U(n) wikiPageWikiLinkText "classifying space for U(n)".
- Classifying_space_for_U(n) hasPhotoCollection Classifying_space_for_U(n).
- Classifying_space_for_U(n) wikiPageUsesTemplate Template:Citation.
- Classifying_space_for_U(n) wikiPageUsesTemplate Template:Warning.
- Classifying_space_for_U(n) subject Category:Homotopy_theory.
- Classifying_space_for_U(n) hypernym BU.
- Classifying_space_for_U(n) comment "In mathematics, the classifying space for the unitary group U(n) is a space BU(n) together with a universal bundle EU(n) such that any hermitian bundle on a paracompact space X is the pull-back of EU(n) by a map X → BU(n) unique up to homotopy.This space with its universal fibration may be constructed as either the Grassmannian of n-planes in an infinite-dimensional complex Hilbert space; or, the direct limit, with the induced topology, of Grassmannians of n planes.Both constructions are detailed here.".
- Classifying_space_for_U(n) label "Classifying space for U(n)".
- Classifying_space_for_U(n) sameAs m.084rpm.
- Classifying_space_for_U(n) sameAs Q5128446.
- Classifying_space_for_U(n) sameAs Q5128446.
- Classifying_space_for_U(n) wasDerivedFrom Classifying_space_for_U(n)?oldid=617953966.
- Classifying_space_for_U(n) isPrimaryTopicOf Classifying_space_for_U(n).