Source: wikibot/bott-periodicity-theorem
= Bott periodicity theorem
{wiki=Bott_periodicity_theorem}
Bott periodicity theorem is a central result in stable homotopy theory, named after the mathematician Raoul Bott. The theorem essentially states that the homotopy groups of certain topological spaces exhibit periodic behavior. More specifically, Bott periodicity is concerned with the stable homotopy groups of spheres and the stable homotopy classification of certain types of vector bundles.