Bott periodicity (period 8)

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:symplectic_groups
gptkb:unitary_groups
real orthogonal groups
gptkbp:describes periodicity in homotopy groups of classical groups
gptkbp:field gptkb:topology
homotopy theory
https://www.w3.org/2000/01/rdf-schema#label Bott periodicity (period 8)
gptkbp:influenced topological K-theory
stable homotopy theory
gptkbp:namedAfter gptkb:Raoul_Bott
gptkbp:period 8
gptkbp:provenBy gptkb:Raoul_Bott
gptkbp:relatedTo gptkb:K-theory
homotopy groups of Lie groups
gptkbp:sentence The homotopy groups of classical groups repeat with period 8.
gptkbp:yearProved 1957
gptkbp:bfsParent gptkb:Bott_periodicity_(period_2)
gptkbp:bfsLayer 7