K-theory by Sir Michael Atiyah
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K-theory
By Sir Michael Atiyah

K-theory

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Format: Paperback

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K-theory by Sir Michael Atiyah

Book Description

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.

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Book Details

ISBN: 9780201407921
ISBN-10: 0201407922
Format: Paperback
(222mm x 152mm x 17mm)
Pages: 240
Imprint: Perseus Books
Publisher: The Perseus Books Group
Publish Date: 31-May-1994
Country of Publication: United States

Other Editions...


Books By Author Sir Michael Atiyah

Introduction to Commutative Algebra by Sir Michael Atiyah Introduction to Commutative Algebra, Paperback (January 1994)

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read

Geometry and Physics of Knots by Sir Michael Atiyah Geometry and Physics of Knots, Paperback (August 1990)

These notes deal with an area that lies at the crossroads of mathematics and physics and rest primarily on the pioneering work of Vaughan Jones and Edward Witten, who related polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.

Michael Atiyah Collected Works by Sir Michael Atiyah Michael Atiyah Collected Works, Hardback (April 1988)

Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. This work includes papers, covering the years 1959-62, mainly of Michael Atiyah's joint papers with F Hirzebruch on K-Theory.

» View all books by Sir Michael Atiyah

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Recent books by Sir Michael Atiyah close
Introduction to Commutative Algebra by Sir Michael Atiyah
Geometry and Physics of Knots by Sir Michael Atiyah
Michael Atiyah Collected Works by Sir Michael Atiyah
Michael Atiyah Collected Works by Sir Michael Atiyah
Michael Atiyah Collected Works by Sir Michael Atiyah
Michael Atiyah Collected Works by Sir Michael Atiyah
Michael Atiyah Collected Works by Sir Michael Atiyah
»
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