MARC Record from harvard_bibliographic_metadata

LEADER: 03313nam a22004695a 4500
001 013839638-8
005 20140304021501.0
008 100715s1994 xxu| s ||0| 0|eng d
020 $a9780817647391
020 $a9780817647391
020 $a9780817647360
024 7 $a10.1007/978-0-8176-4739-1$2doi
035 $a(Springer)9780817647391
040 $aSpringer
050 4 $aQA612.33
072 7 $aPBPD$2bicssc
072 7 $aMAT002010$2bisacsh
082 04 $a512.66$223
100 1 $aSrinivas, V.,$eauthor.
245 10 $aAlgebraic K-Theory /$cby V. Srinivas.
250 $aSecond Edition.
264 1 $aBoston, MA :$bBirkhäuser Boston,$c1994.
300 $aXVII, 341 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
505 0 $aPreface to the First Edition -- Preface to the Second Edition -- “Classical” K-Theory -- The Plus Construction -- The Classifying Space of a Small Category -- Exact Categories and Quillen's Q-Construction -- The K-Theory of Rings and Schemes -- Proofs of the Theorems of Chapter 4 -- Comparison of the Plus and Q-Constructions -- The Merkurjev--Suslin 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.
520 $aAlgebraic K-Theory 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 K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. 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
650 20 $aTopology.
650 20 $aAlgebraic topology.
650 20 $aGeometry, Algebraic.
650 20 $aK-theory.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGeometry, algebraic.
650 0 $aK-theory.
650 0 $aTopology.
650 0 $aAlgebraic topology.
776 08 $iPrinted edition:$z9780817647360
988 $a20131119
906 $0VEN