//]]>

The Local Structure of Algebraic K-Theory (Record no. 22954)

000 -LEADER
fixed length control field 03500nam a22004695i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151446.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120905s2012 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447143932
978-1-4471-4393-2
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA612.33
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.66
Edition number 23
264 #1 -
-- London :
-- Springer London :
-- Imprint: Springer,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dundas, Bjørn Ian.
Relator term author.
245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title The Local Structure of Algebraic K-Theory
Medium [electronic resource] /
Statement of responsibility, etc by Bjørn Ian Dundas, Thomas G. Goodwillie, Randy McCarthy.
300 ## - PHYSICAL DESCRIPTION
Extent XV, 435 p. 5 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Algebra and Applications,
International Standard Serial Number 1572-5553 ;
Volume number/sequential designation 18
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Algebraic K-theory -- Gamma-spaces and S-algebras -- Reductions -- Topological Hochschild Homology -- The Trace K → THH -- Topological Cyclic Homology -- The Comparison of K-theory and TC.
520 ## - SUMMARY, ETC.
Summary, etc Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element K-theory.
Topical term or geographic name as entry element Algebraic topology.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element K-Theory.
Topical term or geographic name as entry element Algebraic Topology.
Topical term or geographic name as entry element Category Theory, Homological Algebra.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Goodwillie, Thomas G.
Relator term author.
Personal name McCarthy, Randy.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781447143925
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4471-4393-2
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library512.66
Languages: 
English |
العربية