Title page for ETD etd-05112007-172831


Type of Document Master's Thesis
Author Murrugarra Tomairo, David Manuel
Author's Email Address davidmur@vt.edu
URN etd-05112007-172831
Title Bott Periodicity
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Haskell, Peter E. Committee Chair
Ball, Joseph A. Committee Member
Floyd, William J. Committee Member
Keywords
  • K-theory
  • Bott periodicity.
Date of Defense 2007-05-08
Availability unrestricted
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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