Sheaf Theory: 170 (Graduate Texts in Mathematics, 170) - Image 1

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Springer Sheaf Theory: 170 (Graduate Texts in Mathematics, 170)

Name: Sheaf Theory: 170 (Graduate Texts in Mathematics, 170)
Brand: Springer
Price: 60.99 GBP
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Algebra

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Description

This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems." Sheaves play several roles in this study. For example, they provide a suitable notion of "general coefficient systems." Moreover, they furnish us with a common method of defining various cohomology theories and of comparison between different cohomology theories. The parts of the theory of sheaves covered here are those areas important to algebraic topology. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but that is outside the scope of the present book. Thus a more descriptive title for this book might have been Algebraic Topology from the Point of View of Sheaf Theory. Several innovations will be found in this book. Notably, the concept of the "tautness" of a subspace (an adaptation of an analogous notion of Spanier to sheaf-theoretic cohomology) is introduced and exploited throughout the book. The factthat sheaf-theoretic cohomology satisfies 1 the homotopy property is proved for general topological spaces. Also, relative cohomology is introduced into sheaf theory. Concerning relative cohomology, it should be noted that sheaf-theoretic cohomology is usually considered as a "single space" theory.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 0387949054
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 24 January 1997
Listed Since: 12 January 2007

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Springer Sheaf Theory: 170 (Graduate Texts in Mathematics, 170)

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