Acyclic models / Michael Barr.

Format:

Book

Author/Creator:

Barr, Michael, 1937- author.

Series:

CRM monograph series ; Volume 17.

CRM Monograph Series ; Volume 17

Language:

English

Subjects (All):

Acyclic models.

Physical Description:

1 online resource (181 pages) : illustrations.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2002.

Summary:

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.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-3862-3