عنوان

Acyclic models /

(Number (ISBN

0821828770

(Number (ISBN

9780821828779

Title Proper

Acyclic models /

General Material Designation

[Book]

First Statement of Responsibility

Michael Barr.

Place of Publication, Distribution, etc.

Providence, R.I. :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

©2002.

Specific Material Designation and Extent of Item

xi, 179 pages :

Other Physical Details

illustrations ;

Dimensions

27 cm.

Series Title

CRM monograph series,

Volume Designation

v. 17

ISSN of Series

1065-8599 ;

Text of Note

Includes bibliographical references (pages 175-176) and index.

Text of Note

Ch. 1. Categories -- 1. Introduction -- 2. Definition of category -- 3. Functors -- 4. Natural transformations -- 5. Elements and subobjects -- 6. The Yoneda Lemma -- 7. Pullbacks -- 8. Limits and colimits -- 9. Adjoint functors -- 10. Categories of fractions -- 11. The category of modules -- Ch. 2. Abelian Categories and Homological Algebra -- 1. Additive categories -- 2. Abelian categories -- 3. Exactness -- 4. Homology -- 5. Module categories -- 6. The Z construction -- Ch. 3. Chain Complexes and Simplicial Objects -- 1. Mapping cones -- 2. Contractible complexes -- 3. Simplicial objects -- 4. Associated chain complex -- 5. The Dold-Puppe theorem -- 6. Double complexes -- 7. Double simplicial objects -- 8. Homology and cohomology of a morphism -- Ch. 4. Triples a la Mode de Kan -- 1. Triples and cotriples -- 2. Model induced triples -- 3. Triples on the simplicial category -- 4. Historical Notes -- Ch. 5. The Main Acyclic Models Theorem -- 1. Acyclic classes -- 2. Properties of acyclic classes -- 3. The main theorem -- 4. Homotopy calculuses of fractions -- 5. Exactness conditions -- Ch. 6. Cartan-Eilenberg Cohomology -- 1. Beck modules -- 2. The main theorem -- 3. Groups -- 4. Associative algebras -- 5. Lie Algebras -- Ch. 7. Other Applications in Algebra -- 1. Commutative algebras -- 2. More on cohomology of commutative cohomology -- 3. Shukla cohomology -- 4. The Eilenberg-Zilber theorem -- Ch. 8. Applications in Topology -- 1. Singular homology -- 2. Covered spaces -- 3. Simplicial homology -- 4. Singular homology of triangulated spaces -- 5. Homology with ordered simplexes -- 6. Application to homology on manifolds.

0

Acyclic models.

Modèles acycliques.

Acyclic models.

Homologische Algebra

Kategorientheorie

Number

Edition

Class number

Book number

Class number

System Code

Barr, Michael.

Date of Transaction

20200822135829.0

Electronic name

[Book]

Y