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Cohomologie non abélienne

  • Jean Giraud
Book

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

Table of contents

  1. Front Matter
    Pages I-IX
  2. Jean Giraud
    Pages 1-3
  3. Jean Giraud
    Pages 4-17
  4. Jean Giraud
    Pages 18-63
  5. Jean Giraud
    Pages 64-105
  6. Jean Giraud
    Pages 106-183
  7. Jean Giraud
    Pages 184-301
  8. Jean Giraud
    Pages 348-368
  9. Jean Giraud
    Pages 392-458
  10. Back Matter
    Pages 459-469

About this book

Introduction

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.

Keywords

Stack Torsor Gerbe Topos Fibered Category

Authors and affiliations

  • Jean Giraud
    • 1
  1. 1.l’Ecole Normale Supérieure de Saint CloudFrance

Bibliographic information