Bott periodicity is the periodic repetition of the stable homotopy types and homotopy groups associated with the classical groups. Complex Bott periodicity has period
2 and real Bott periodicity has period 8. The Bott
periodicity theorem establishes these equivalences and makes the periodicity
fundamental in topological 
-theory.
Bott Periodicity
See also
Bott Periodicity Theorem, Homotopy Group, K-Theory, Orthogonal Group, Unitary GroupExplore with Wolfram|Alpha
References
Atiyah, M. F. K-Theory. New York: Benjamin, 1967.Cite this as:
Weisstein, Eric W. "Bott Periodicity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BottPeriodicity.html