P. J. Hilton

General Cohomology Theory and K-Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

These notes constitute a faithful record of a short course of lectures given in Sao Paulo, Brazil, in the summer of 1968. The audience was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology of general cohomology theory and to give applications of K-theory to familiar problems such as that of the existence of real division algebras. The audience was not assumed to be sophisticated in homological algebra, so one chapter is devoted to an elementary exposition of exact couples and spectral sequences.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. Februar 1971
• Englisch
• ISBN-13: 9781107107397
• Artikelnr.: 39262303

Inhaltsangabe

1. General Cohomology Theories
2. Exact Couples and Spectral Sequences
3. The Generalized Atiyah-Hirzebruch Spectral Sequence
4. K- Theory
5. K-Theory, the Chern Character and the Hopf Invariant Problem.