Sheaf Theory

Bredon, Glen E.

  • 出版商: Springer
  • 出版日期: 2012-09-28
  • 售價: $3,480
  • 貴賓價: 9.5$3,306
  • 語言: 英文
  • 頁數: 504
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1461268540
  • ISBN-13: 9781461268543
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

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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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