MARC 主機 00000cam  2200517Mi 4500 
001    853264222 
003    OCoLC 
005    20140708050358.0 
006    m     o  d         
007    cr mnu---uuaaa 
008    100715s1994    mau     o     000 0 eng   
020    9780817647391 (electronic bk.) 
020    0817647392 (electronic bk.) 
035    (OCoLC)853264222 
040    AU@|beng|epn|cAU@|dOCLCO|dGW5XE|dOCLCQ|dAS|dMATH 
050  4 QA612.33 
082 04 512.66|223 
100 1  Srinivas, V 
245 10 Algebraic K-Theory|h[electronic resource] /|cby V. 
       Srinivas 
250    Second edition 
260    Boston, MA :|bBirkhäuser Boston,|c1994 
300    1 online resource (volumes) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
505 0  Preface 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    Algebraic 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  0 Mathematics 
650  0 Geometry, Algebraic 
650  0 K-theory 
650  0 Topology 
650  0 Algebraic topology 
655  4 Electronic books 
776 08 |iPrint version:|z9780817647360 
856 40 |3SpringerLink|uhttp://dx.doi.org/10.1007/978-0-8176-4739-
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