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  • © 1971

Cohomologie non abelienne

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 179)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-IX
  2. Introduction

    • Jean Giraud
    Pages 1-3
  3. Sites et topos

    • Jean Giraud
    Pages 4-17
  4. Catégories fibrées et scindées

    • Jean Giraud
    Pages 18-63
  5. Les champs

    • Jean Giraud
    Pages 64-105
  6. Torseurs. Cohomologie de degré 1

    • Jean Giraud
    Pages 106-183
  7. Liens et Gerbes. (Cohomologie de degré 2)

    • Jean Giraud
    Pages 184-301
  8. Liens et 3-cohomologie

    • Jean Giraud
    Pages 348-368
  9. Extension d’un topos

    • Jean Giraud
    Pages 392-458
  10. Back Matter

    Pages 459-469

About this book

Now a common tool and object of study, stacks were introduced in this book as a framework for the study of non-abelian cohomology classes in degrees 1 and 2 on an arbitrary topos. The book shows that these cohomology classes can be represented by geometric objects called torsors and gerbes, and provides a detailed study of their basic properties. Since their introduction in this book, gerbes have become a widespread tool in geometry and topology.

A timeless classic, this French language book remains to this day a key reference for fibred categories, stacks, torsors, gerbes and topos.

Authors and Affiliations

  • l’Ecole Normale Supérieure de Saint Cloud, France

    Jean Giraud

Bibliographic Information

  • Book Title: Cohomologie non abelienne

  • Authors: Jean Giraud

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-62103-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 1971

  • Hardcover ISBN: 978-3-540-05307-1Published: 01 January 1971

  • eBook ISBN: 978-3-662-62103-5Published: 01 July 2020

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: IX, 470

  • Topics: Algebra

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access