Bott Periodicity

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Date

2007-05-08

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Virginia Tech

Abstract

Bott 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.

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Keywords

K-theory, Bott periodicity.

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