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© 1996

Methods of Homological Algebra

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Sergei I. Gelfand, Yuri I. Manin
    Pages 1-55
  3. Sergei I. Gelfand, Yuri I. Manin
    Pages 57-138
  4. Sergei I. Gelfand, Yuri I. Manin
    Pages 139-238
  5. Sergei I. Gelfand, Yuri I. Manin
    Pages 239-290
  6. Sergei I. Gelfand, Yuri I. Manin
    Pages 291-356
  7. Back Matter
    Pages 357-373

About this book

Introduction

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn about a modern approach to homological algebra and to use it in their work.

Keywords

Cohomology Homological algebra Sheaf cohomology category theory homotopical algebra

Authors and affiliations

  1. 1.American Mathematical SocietyProvidenceUSA
  2. 2.MPI für MathematikBonnGermany

Bibliographic information

  • Book Title Methods of Homological Algebra
  • Authors Sergei I. Gelfand
    Yuri J. Manin
  • DOI https://doi.org/10.1007/978-3-662-03220-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-54746-4
  • Softcover ISBN 978-3-662-03222-0
  • eBook ISBN 978-3-662-03220-6
  • Edition Number 1
  • Number of Pages XVIII, 374
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics K-Theory
  • Buy this book on publisher's site