Cohomologie non abélienne
Cohomologie non abélienne
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非阿贝列上同系
DOI：
10.1007/978-3-662-62103-5
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发表时间：
1971
期刊：
影响因子：
--
通讯作者：
J. Giraud
中科院分区：
文献类型：
--
作者：
J. Giraud
现在一个共同的工具和研究对象，栈被介绍在这本书作为一个框架的研究非阿贝尔上同调类在度1和2的任意topos。这本书表明，这些上同调类可以表示的几何对象称为torsors和gerbes，并提供了详细的研究，他们的基本性质。自从在本书中介绍以来，gerbes已经成为几何和拓扑学中广泛使用的工具。一个永恒的经典，这本法语书仍然是这一天的关键参考，分类，堆栈，torsors，gerbes和topos。
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.