Sheaf Theory Book by Glen E Bredon - Bookswagon UAE
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Sheaf Theory

Sheaf Theory


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About the Book

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 impor- tant 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 con- cept of the "tautness" of a subspace (an adaptation of an analogous no- tion of Spanier to sheaf-theoretic cohomology) is introduced and exploited throughout the book. The fact that 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.


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Product Details
  • ISBN-13: 9780387949055
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 2nd ed. 1997
  • Language: English
  • Returnable: N
  • Spine Width: 30 mm
  • Width: 163 mm
  • ISBN-10: 0387949054
  • Publisher Date: 24 Jan 1997
  • Binding: Hardback
  • Height: 243 mm
  • No of Pages: 504
  • Series Title: Graduate Texts in Mathematics
  • Weight: 951 gr


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