Acyclic Models

Acyclic Models

by Michael Barr
     
 

ISBN-10: 0821828770

ISBN-13: 9780821828779

Pub. Date: 06/01/2002

Publisher: American Mathematical Society

Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief introduction to category theory and homological algebra. The author then

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Overview

Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief introduction to category theory and homological algebra. The author then gives the background of the theory of differential modules and chain complexes over an abelian category to state the main acyclic models theorem, generalizing and systemizing the earlier material. This is then applied to various cohomology theories in algebra and topology. The volume could be used as a text for a course that combines homological algebra and algebraic topology. Required background includes a standard course in abstract algebra and some knowledge of topology. The volume contains many exercises. It is also suitable as a reference work for researchers.

Product Details

ISBN-13:
9780821828779
Publisher:
American Mathematical Society
Publication date:
06/01/2002
Series:
CRM Monograph Series, #17
Pages:
179
Product dimensions:
7.20(w) x 10.20(h) x 0.60(d)

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