Homological Algebra and Its Applications
著者
書誌事項
Homological Algebra and Its Applications
（Infosys Science Foundation series, . Infosys Science Foundation series in mathematical sciences . Algebra ; 3）
Springer, c2021
- :hbk.
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注記
Includes bibliographical references (p. 295) and index
内容説明・目次
内容説明
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.
目次
Chapter 1. Homological Algebra 1.- Chapter 2. Homological Algebra 2, Derived Functions.- Chapter 3. Homological Algebra 3, Examples and Applications.- Chapter 4. Sheaf Co-homology and Applications.
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