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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