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- Kuiper's_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.".
- Kuiper's_theorem wikiPageID "2993692".
- Kuiper's_theorem wikiPageRevisionID "503483235".
- Kuiper's_theorem hasPhotoCollection Kuiper's_theorem.
- Kuiper's_theorem subject Category:Hilbert_space.
- Kuiper's_theorem subject Category:K-theory.
- Kuiper's_theorem subject Category:Operator_theory.
- Kuiper's_theorem subject Category:Theorems_in_topology.
- Kuiper's_theorem subject Category:Topology_of_Lie_groups.
- Kuiper's_theorem type Abstraction100002137.
- Kuiper's_theorem type Communication100033020.
- Kuiper's_theorem type Message106598915.
- Kuiper's_theorem type Proposition106750804.
- Kuiper's_theorem type Statement106722453.
- Kuiper's_theorem type Theorem106752293.
- Kuiper's_theorem type TheoremsInTopology.
- Kuiper's_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.".
- Kuiper's_theorem label "Kuiper's theorem".
- Kuiper's_theorem sameAs m.08jb69.
- Kuiper's_theorem sameAs Q6442276.
- Kuiper's_theorem sameAs Q6442276.
- Kuiper's_theorem sameAs Kuiper's_theorem.
- Kuiper's_theorem wasDerivedFrom Kuiper's_theorem?oldid=503483235.
- Kuiper's_theorem isPrimaryTopicOf Kuiper's_theorem.