Example image of eyePlorer eyePlorer map for 'Bott periodicity theorem': Homotopy Homotopy groups of spheres K-theory Mathematics Raoul Bott Vector bundle Unitary group Topological K-theory Orthogonal group Symplectic group Algebraic topology Homology theory Homotopy group Sphere Circle Smash product Stable homotopy theory Suspension (topology) Characteristic class Cohomology Direct limit Classical group Classifying space Grassmannian Adjoint functors Loop space Symmetric space Clifford algebra Morse theory Principal homogeneous space Operator K-theory List of theorems Clifford module Lagrangian Grassmannian Séminaire Nicolas Bourbaki (1960–1969) Direct limit of groups J-homomorphism Séminaire Nicolas Bourbaki (1950–1959) Brahmagupta–Fibonacci identity Maps of manifolds Complex projective space 8 (number) Spectrum (homotopy theory) KK-theory List of cohomology theories Bott Michael Atiyah Division (mathematics) General linear group