版本 
Second edition 
說明 
1 online resource (volumes) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
附註 
Preface to the First Edition  Preface to the Second Edition  "Classical" KTheory  The Plus Construction  The Classifying Space of a Small Category  Exact Categories and Quillen's QConstruction  The KTheory of Rings and Schemes  Proofs of the Theorems of Chapter 4  Comparison of the Plus and QConstructions  The MerkurjevSuslin Theorem  Localization for Singular Varieties  Appendix A. Results from Topology  Appendix B. Results from Category Theory  Appendix C. Exact Couples  Appendix D. Results from Algebraic Geometry  Bibliography 

Algebraic KTheory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic KTheory, I, II." A more elementary proof of the theorem of MerkujevSuslin is given in this edition; this makes the treatment of this topic selfcontained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties. "It is a pleasure to read this mathematically beautiful book ..."WW. J. Julsbergen, Mathematics Abstracts "The book does an admirable job of presenting the details of Quillen's work ..." Mathematical Reviews 
鏈接 
Print version: 9780817647360

主題 
Mathematics


Geometry, Algebraic


Ktheory


Topology


Algebraic topology


Electronic books

