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K-Theory: An Introduction

Door Max Karoubi

Categorie	Algemeen wetenschap
Boeknummer	#350091-ZB2
Titel	K-Theory: An Introduction
Auteur	Karoubi, Max
Boektype	Gebonden hardcover
Uitgeverij	Berlin/Heidelberg : Springer
Jaar van uitgave	1978
ISBN10	3540080902
ISBN13	9783540080909
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 226.
Samenvatting	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 f... (Lees verder)rom 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".
Pagina's	308
Conditie	Goed — Small annotation in pen on first endpaper, boards slightly rubbed.
Prijs	€ 100,00

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