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. / Master of Science
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/32583 |
| Date | 05 June 2007 |
| Creators | Murrugarra Tomairo, David Manuel |
| Contributors | Mathematics, Haskell, Peter E., Floyd, William J., Ball, Joseph A. |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | ThesisMS2.pdf |
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