Sheaf Theory / B. R. Tennison.

By: Tennison, B. R [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 20Publisher: Cambridge : Cambridge University Press, 1975Description: 1 online resource (176 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511661761 (ebook)Subject(s): Sheaf theoryAdditional physical formats: Print version: : No titleDDC classification: 514/.224 LOC classification: QA612.36 | .T46Online resources: Click here to access online Summary: 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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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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