K-Theory: An Introduction

Karoubi, Max

Published by Springer-Verlag, 1978
ISBN 10: 0387080902 / ISBN 13: 9780387080901
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Synopsis: pp.xviii 308

From the Back Cover: 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".

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Bibliographic Details

Title: K-Theory: An Introduction
Publisher: Springer-Verlag
Publication Date: 1978
Binding: Cloth
Book Condition: Very Good

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Karoubi, Max
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Book Description Springer-Verlag, New York, 1978. Hardcover. Condition: Good. Dust Jacket Condition: No Dust Jacket. First U.S. Edition. An ex-library copy in yellow cloth lettered in black. The usual ex-libris markings, clean within. The binding is sound and there is little wear to the covers. No dust jacket (apparently as issued). Seller Inventory # 042036

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Book Description Springer-Verlag. Condition: Used - Very Good. 1978. Hardcover. Cloth, no dj. A little shelf-wear and scuffing to cloth. Internally very good. Very Good. Seller Inventory # S71499

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Book Description Springer-Verlag, 1978. Hardcover. Condition: Used; Good. Dispatched, from the UK, within 48 hours of ordering. This book is in good condition but will show signs of previous ownership. Please expect some creasing to the spine and/or minor damage to the cover. Aged book. Please note this book is over 20 years old. It will therefore have tanned pages, age spots and plenty of shelf wear. However, for its age it is still very useable, and a great read. Seller Inventory # CHL3404887

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Max Karoubi
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Book Description Springer, New York, 1978. Condition: Very Good. Dust Jacket Condition: No Dj. 8vo pp.xviii 308. book. Seller Inventory # 188521

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Book Description Springer-Verlag, 1978. Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Seller Inventory # 0387080902-2-4

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Book Description Springer-Verlag, 1978. Hardcover. Condition: Good. 1st. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be ex-library. Shipping & Handling by region. Buy with confidence, excellent customer service!. Seller Inventory # 0387080902

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