
000 | 00942camuuu200277 a 4500 | |
001 | 000000068001 | |
005 | 19980706094601.0 | |
008 | 940915s1995 ne a b 001 0 eng | |
010 | ▼a 94035621 | |
015 | ▼a GB95-4073 | |
020 | ▼a 0792331850 (acid-free paper) | |
040 | ▼a DLC ▼c DLC ▼d UKM | |
049 | 1 | ▼l 121018969 ▼f 과학 ▼l 121020234 ▼f 과학 |
050 | 0 0 | ▼a QA612.33 ▼b .I53 1995 |
082 | 0 0 | ▼a 512/.55 ▼2 20 |
090 | ▼a 512.55 ▼b I35a | |
100 | 1 0 | ▼a Inassaridze, H. ▼q (Hvedri), ▼d 1932- |
245 | 1 0 | ▼a Algebraic K-theory / ▼c by Hvedri Inassaridze. |
260 | 0 | ▼a Dordrecht ; ▼a Boston : ▼b Kluwer Academic Publishers, ▼c c1995. |
300 | ▼a viii, 438 p. : ▼b ill. ; ▼c 25 cm. | |
490 | 1 | ▼a Mathematics and its applications ; ▼v v. 311. |
504 | ▼a Includes bibliographical references (p. 429-432) and index. | |
650 | 0 | ▼a K-theory. |
653 | 0 | ▼a Algebraic topology |
830 | 0 | ▼a Mathematics and its applications (Kluwer Academic Publishers) ; ▼v v. 311. |
소장정보
No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
---|---|---|---|---|---|---|---|
No. 1 | 소장처 과학도서관/Sci-Info(2층서고)/ | 청구기호 512.55 I35a | 등록번호 121018969 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
No. 2 | 소장처 과학도서관/Sci-Info(2층서고)/ | 청구기호 512.55 I35a | 등록번호 121020234 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
컨텐츠정보
목차
Introduction. I: Classical algebraic K-functors. 1. The Grothendieck functor Ko. 2. The Bass--Whitehead functor K Pds. X/X Pds. 1. 3. The Milnor functor KM2. II: Higher K-functors. 1. K-Theory of Quillen for exact categories. 2. The Quillen plus construction. 3. K-Theory of Swan. 4. K-theory of Karoubi--Villamayor. 5. K-Theory of Waldhausen. III: Properties of algebraic K-functors. 1. Exactness, excision and the Mayor--Vietoris sequence. 2. The localization theorem. 3. The fundamental theorem. 4. Products in algebraic K-theory. 5. Stability. IV: Relations between algebraic K-theories. 1. Isomorphism of Quillen's algebraic K-theories. Agreement of plus construction and Q-construction. 2. Connection of Quillen's plus construction with Swan's algebraic K-theory. 3. Comparison of Swan's and Karoubi--Villamayor's algebraic K-theories. V: Relation between algebraic and topological K-theories. 1. Equivalence of categories of finitely generated projective modules and vector bundles over a compact space for C -algebras. 2. K-theory of special normed algebras and Z2-graded C -algebras. 3. Isomorphism of Swan's and Karoubi--Villamayor's K-theories with topological K-theory for real Banach algebras. VI: The Problem of Serre for polynomial and monoid algebras. 1. Proof ofAnderson's conjecture. 2. The algebraic proof of Swan. VII: Connection with cyclic homology. References. Index.
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