K-Theory : An Introduction

Language: English

Published by Springer Vieweg, 2008

3540798897 / 9783540798897

Series: Book 12 of 14 - Classics in Mathematics

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Druck auf Anfrage Neuware - Printed after ordering - 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.TopologicalK-theory has become an important tool in topology. UsingK- 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'.

Seller Inventory # 9783540798897

Title
K-Theory : An Introduction
Author
Max Karoubi
Publisher
Springer Vieweg
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540798897
ISBN 13
9783540798897
Item weight
517 grams
Dimensions
235x155x19 mm
Series
Book 12 of 14: Classics in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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