General Cohomology Theory and K-Theory / P. J. Hilton.

By: Hilton, P. J [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 1Publisher: Cambridge : Cambridge University Press, 1971Description: 1 online resource (108 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662577 (ebook)Other title: General Cohomology Theory & K-TheorySubject(s): Homology theory | K-theoryAdditional physical formats: Print version: : No titleDDC classification: 514/.23 LOC classification: QA612.3 | .H54Online resources: Click here to access online Summary: These notes constitute a faithful record of a short course of lectures given in São 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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These notes constitute a faithful record of a short course of lectures given in São 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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