K-Theory: An Introduction (Classics in Mathematics)
ISBN-13:
9783540798897
ISBN-10:
3540798897
Edition:
2008
Author:
Max Karoubi
Publication date:
2008
Publisher:
Springer
Format:
Paperback
334 pages
Category:
Geometry & Topology
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783540798897
ISBN-10:
3540798897
Edition:
2008
Author:
Max Karoubi
Publication date:
2008
Publisher:
Springer
Format:
Paperback
334 pages
Category:
Geometry & Topology
,
Mathematics
Summary
K-Theory: An Introduction (Classics in Mathematics) (ISBN-13: 9783540798897 and ISBN-10: 3540798897), written by authors
Max Karoubi, was published by Springer in 2008.
With an overall rating of 3.5 stars, it's a notable title among other
Geometry & Topology
(Mathematics) books. You can easily purchase or rent K-Theory: An Introduction (Classics in Mathematics) (Paperback) from BooksRun,
along with many other new and used
Geometry & Topology
books
and textbooks.
And, if you're looking to sell your copy, our current buyback offer is $0.93.
Description
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory.
The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".
The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".
We would LOVE it if you could help us and other readers by reviewing the book
Book review
Congratulations! We have received your book review.
{user}
{createdAt}
by {truncated_author}