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    The Bone Clocks

    David Mitchell 9781400065677

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25 Remote Warehouse Mathematics- Linear Algebra

This title in other editions

Other titles in the Lecture Notes in Physics, series:

Cyclic Homology, Vol. 301

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Cyclic Homology, Vol. 301 Cover

 

Synopses & Reviews

Publisher Comments:

From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter In this second edition the authors have added a chapter 13 on MacLane (co)homology.

Description:

Includes bibliographical references (p. [485]-507) and index.

Table of Contents

Introduction.- Notation and Terminology.- Hochschild Homology.- Cyclic Homology of Algebras.- Smooth Algebras and Other Examples.- Operations on Hochschild and Cyclic Homology.- Variations on Cyclic Homology.- The Cyclic Category, Tor and Ext Interpretation.- Cyclic Spaces and S1-Equivariant Homology.- Chern Character.- Classical Invariant Theory.- Homology of Lie Algebras of Matrices.- Algebraic K-Theory.- Non-Commutative Differential Geometry.- Appendices: Hopf Algebras.- Simplicial.- Homology of Discrete Groups and Small Categories.- Spectral Sequences.- Smooth Algebras.- References.- Symbols.- Index.- Mac Lane (co)homology

Product Details

ISBN:
9783540630746
Author:
Loday, Jean-Louis
Publisher:
Springer
Author:
Loday, Jean-Louis
Location:
Berlin, Heidelberg
Subject:
Algebra - Linear
Subject:
Homology theory
Subject:
Geometry - General
Subject:
Topology - General
Subject:
Topology
Subject:
Algebraic K-theory
Subject:
Lie algebras
Subject:
Noncommutative differential geometry.
Subject:
Algebraic topology
Subject:
K-Theory In this 2nd edition a new chapter 13 on MacLane (co)homology is added. It is compared with a variant of algebraic K-theory called stable K-theory. It turns out that these two theories are isomorphic. The main tool for this comparison is a third t
Subject:
Mathematics-Linear Algebra
Subject:
K-theory
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Copyright:
Edition Number:
2nd ed.
Edition Description:
2nd ed. 1998
Series:
Grundlehren der mathematischen Wissenschaften
Series Volume:
301
Publication Date:
19971112
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
535
Dimensions:
235 x 155 mm 2050 gr

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Related Subjects

Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
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Science and Mathematics » Mathematics » Topology

Cyclic Homology, Vol. 301 New Hardcover
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Product details 535 pages Springer-Verlag New York, Incorporated - English 9783540630746 Reviews:
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