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- Kuipers_theorem abstract "In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms H is such that all maps from any finite complex Y to GL(H) are homotopic to a constant, for the norm topology on operators.A significant corollary, also referred to as Kuiper's theorem, is that this group is weakly contractible, ie. all its homotopy groups are trivial. This result has important uses in topological K-theory.".
- Kuipers_theorem wikiPageID "2993692".
- Kuipers_theorem wikiPageLength "7636".
- Kuipers_theorem wikiPageOutDegree "58".
- Kuipers_theorem wikiPageRevisionID "634973747".
- Kuipers_theorem wikiPageWikiLink Adrien_Douady.
- Kuipers_theorem wikiPageWikiLink Andrey_Nikolayevich_Tikhonov.
- Kuipers_theorem wikiPageWikiLink Andrey_Nikolayevich_Tychonoff.
- Kuipers_theorem wikiPageWikiLink Banach_space.
- Kuipers_theorem wikiPageWikiLink Bott_periodicity_theorem.
- Kuipers_theorem wikiPageWikiLink Bounded_operator.
- Kuipers_theorem wikiPageWikiLink Brouwer_fixed-point_theorem.
- Kuipers_theorem wikiPageWikiLink CW_complex.
- Kuipers_theorem wikiPageWikiLink Category:Hilbert_space.
- Kuipers_theorem wikiPageWikiLink Category:K-theory.
- Kuipers_theorem wikiPageWikiLink Category:Operator_theory.
- Kuipers_theorem wikiPageWikiLink Category:Theorems_in_topology.
- Kuipers_theorem wikiPageWikiLink Category:Topology_of_Lie_groups.
- Kuipers_theorem wikiPageWikiLink Circle_group.
- Kuipers_theorem wikiPageWikiLink Classifying_space.
- Kuipers_theorem wikiPageWikiLink Classifying_space_for_U(n).
- Kuipers_theorem wikiPageWikiLink Connected_space.
- Kuipers_theorem wikiPageWikiLink Contractible_space.
- Kuipers_theorem wikiPageWikiLink Diffeomorphic.
- Kuipers_theorem wikiPageWikiLink Diffeomorphism.
- Kuipers_theorem wikiPageWikiLink Fiber_bundle.
- Kuipers_theorem wikiPageWikiLink Fibre_bundle.
- Kuipers_theorem wikiPageWikiLink Fredholm_operator.
- Kuipers_theorem wikiPageWikiLink General_linear_group.
- Kuipers_theorem wikiPageWikiLink Gram-Schmidt_process.
- Kuipers_theorem wikiPageWikiLink Gram–Schmidt_process.
- Kuipers_theorem wikiPageWikiLink Hilbert_bundle.
- Kuipers_theorem wikiPageWikiLink Hilbert_manifold.
- Kuipers_theorem wikiPageWikiLink Hilbert_space.
- Kuipers_theorem wikiPageWikiLink Homeomorphism.
- Kuipers_theorem wikiPageWikiLink Homogeneous_space.
- Kuipers_theorem wikiPageWikiLink Homotopic.
- Kuipers_theorem wikiPageWikiLink Homotopy.
- Kuipers_theorem wikiPageWikiLink Homotopy_group.
- Kuipers_theorem wikiPageWikiLink Homotopy_long_exact_sequence.
- Kuipers_theorem wikiPageWikiLink Homotopy_theory.
- Kuipers_theorem wikiPageWikiLink Homotopy_type.
- Kuipers_theorem wikiPageWikiLink Inverse_element.
- Kuipers_theorem wikiPageWikiLink Invertible.
- Kuipers_theorem wikiPageWikiLink Jacques_Dixmier.
- Kuipers_theorem wikiPageWikiLink Klaus_Jänich.
- Kuipers_theorem wikiPageWikiLink Linear_map.
- Kuipers_theorem wikiPageWikiLink Linear_operator.
- Kuipers_theorem wikiPageWikiLink Mathematical_folklore.
- Kuipers_theorem wikiPageWikiLink Mathematics.
- Kuipers_theorem wikiPageWikiLink Matrix_polar_decomposition.
- Kuipers_theorem wikiPageWikiLink Maximal_compact_subgroup.
- Kuipers_theorem wikiPageWikiLink Michael_Atiyah.
- Kuipers_theorem wikiPageWikiLink Nicolaas_Kuiper.
- Kuipers_theorem wikiPageWikiLink Norm_topology.
- Kuipers_theorem wikiPageWikiLink Operator_norm.
- Kuipers_theorem wikiPageWikiLink Polar_decomposition.
- Kuipers_theorem wikiPageWikiLink Separable_Hilbert_space.
- Kuipers_theorem wikiPageWikiLink Shizuo_Kakutani.
- Kuipers_theorem wikiPageWikiLink Strong_operator_topology.
- Kuipers_theorem wikiPageWikiLink Topological_K-theory.
- Kuipers_theorem wikiPageWikiLink Topological_space.
- Kuipers_theorem wikiPageWikiLink Topology_(journal).
- Kuipers_theorem wikiPageWikiLink Triangular_matrix.
- Kuipers_theorem wikiPageWikiLink Trivial_bundle.
- Kuipers_theorem wikiPageWikiLink Unit_sphere.
- Kuipers_theorem wikiPageWikiLink Unitary_group.
- Kuipers_theorem wikiPageWikiLink Upper_triangular_matrices.
- Kuipers_theorem wikiPageWikiLink Vector_bundle.
- Kuipers_theorem wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Kuipers_theorem wikiPageWikiLink Weak_homotopy_equivalence.
- Kuipers_theorem wikiPageWikiLink Weakly_contractible.
- Kuipers_theorem wikiPageWikiLinkText "Kuiper's theorem".
- Kuipers_theorem hasPhotoCollection Kuipers_theorem.
- Kuipers_theorem wikiPageUsesTemplate Template:Cite_journal.
- Kuipers_theorem wikiPageUsesTemplate Template:Reflist.
- Kuipers_theorem subject Category:Hilbert_space.
- Kuipers_theorem subject Category:K-theory.
- Kuipers_theorem subject Category:Operator_theory.
- Kuipers_theorem subject Category:Theorems_in_topology.
- Kuipers_theorem subject Category:Topology_of_Lie_groups.
- Kuipers_theorem hypernym Result.
- Kuipers_theorem comment "In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms H is such that all maps from any finite complex Y to GL(H) are homotopic to a constant, for the norm topology on operators.A significant corollary, also referred to as Kuiper's theorem, is that this group is weakly contractible, ie. all its homotopy groups are trivial.".
- Kuipers_theorem label "Kuiper's theorem".
- Kuipers_theorem sameAs m.08jb69.
- Kuipers_theorem sameAs Q6442276.
- Kuipers_theorem sameAs Q6442276.
- Kuipers_theorem wasDerivedFrom Kuipers_theoremoldid=634973747.
- Kuipers_theorem isPrimaryTopicOf Kuipers_theorem.