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- Bott_periodicity_theorem abstract "In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959), which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group. See for example topological K-theory.There are corresponding period-8 phenomena for the matching theories, (real) KO-theory and (quaternionic) KSp-theory, associated to the real orthogonal group and the quaternionic symplectic group, respectively. The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of spheres.".
- Bott_periodicity_theorem wikiPageExternalLink week105.html.
- Bott_periodicity_theorem wikiPageExternalLink item?id=BSMF_1956__84__251_0.
- Bott_periodicity_theorem wikiPageExternalLink 0001870870900307.
- Bott_periodicity_theorem wikiPageID "782099".
- Bott_periodicity_theorem wikiPageRevisionID "550534675".
- Bott_periodicity_theorem authorlink "Raoul Bott".
- Bott_periodicity_theorem first "Raoul".
- Bott_periodicity_theorem hasPhotoCollection Bott_periodicity_theorem.
- Bott_periodicity_theorem last "Bott".
- Bott_periodicity_theorem year "1957".
- Bott_periodicity_theorem year "1959".
- Bott_periodicity_theorem subject Category:Homotopy_theory.
- Bott_periodicity_theorem subject Category:Theorems_in_topology.
- Bott_periodicity_theorem subject Category:Topology_of_Lie_groups.
- Bott_periodicity_theorem type Abstraction100002137.
- Bott_periodicity_theorem type Communication100033020.
- Bott_periodicity_theorem type Message106598915.
- Bott_periodicity_theorem type Proposition106750804.
- Bott_periodicity_theorem type Statement106722453.
- Bott_periodicity_theorem type Theorem106752293.
- Bott_periodicity_theorem type TheoremsInTopology.
- Bott_periodicity_theorem comment "In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959), which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres.".
- Bott_periodicity_theorem label "Bott periodicity theorem".
- Bott_periodicity_theorem label "博特周期性定理".
- Bott_periodicity_theorem sameAs m.03by6k.
- Bott_periodicity_theorem sameAs Q4948983.
- Bott_periodicity_theorem sameAs Q4948983.
- Bott_periodicity_theorem sameAs Bott_periodicity_theorem.
- Bott_periodicity_theorem wasDerivedFrom Bott_periodicity_theorem?oldid=550534675.
- Bott_periodicity_theorem isPrimaryTopicOf Bott_periodicity_theorem.