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Algebraic K-theory

Algebraic K-theory (4회 대출)

자료유형
단행본
개인저자
Inassaridze, H. (Hvedri), 1932-
서명 / 저자사항
Algebraic K-theory / by Hvedri Inassaridze.
발행사항
Dordrecht ;   Boston :   Kluwer Academic Publishers,   c1995.  
형태사항
viii, 438 p. : ill. ; 25 cm.
총서사항
Mathematics and its applications ;v. 311.
ISBN
0792331850 (acid-free paper)
서지주기
Includes bibliographical references (p. 429-432) and index.
일반주제명
K-theory.
비통제주제어
Algebraic topology,,
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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 B M
No. 2 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.55 I35a 등록번호 121020234 도서상태 대출가능 반납예정일 예약 서비스 B M

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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