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  3. Sheaf Theory
  • Cited by 59
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1975
Online ISBN:
9780511661761
DOI:
https://doi.org/10.1017/CBO9780511661761
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets
Series:
London Mathematical Society Lecture Note Series (20)
Information

Book description

Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties. It finds its main applications in topology and modern algebraic geometry where it has been used as a tool for solving, with great success, several long-standing problems. This text is based on a lecture course for graduate pure mathematicians which builds up enough of the foundations of sheaf theory to give a broad definition of manifold, covering as special cases the algebraic geometer's schemes as well as the topological, differentiable and analytic kinds, and to define sheaf cohomology for application to such objects. Exercises are provided at the end of each chapter and at various places in the text. Hints and solutions to some of them are given at the end of the book.

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