Murrugarra Tomairo, David Manuel2014-03-142014-03-142007-05-08etd-05112007-172831http://hdl.handle.net/10919/32583Bott periodicity plays a fundamental role in the definition and understanding of K-theory, the generalized cohomology theory defined by vector bundles. This paper examines the proof, given by Atiyah and Bott[3], of the periodicity theorem for the complex case. We also describe the long exact sequence for K-cohomology in the category of connected finite CW-complexes.In CopyrightK-theoryBott periodicity.Thesishttp://scholar.lib.vt.edu/theses/available/etd-05112007-172831/