Derived Functors And Sheaf Cohomology: 2 (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes) - Image 1

£63.09

World Scientific Publishing Company Derived Functors And Sheaf Cohomology: 2 (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes)

Name: Derived Functors And Sheaf Cohomology: 2 (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes)
Brand: World Scientific Publishing Company
Price: 63.09 GBP
Availability: InStock

Algebra

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The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra. The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining ech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9811207283
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 27 March 2020
Listed Since: 03 June 2019

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World Scientific Publishing Company Derived Functors And Sheaf Cohomology: 2 (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes)

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