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二手書博民逛書店英文原版罕見Sheaf TheoryY492923 Bredon, Glen E. Springer ISBN

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二手書博民逛書店英文原版罕見Sheaf TheoryY492923 Bredon, Glen E. Springer ISBN

二手書博民逛書店英文原版罕見Sheaf TheoryY492923 Bredon, Glen E. Springer ISBN:9781461268543 出版2012

作 者:Bredon, Glen E.

出 版 社:Springer

出版時間:2012-09

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印 數:

裝 訂:

版 次:2

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字 數:

I S B N:9781461268543

年 代:

裝 幀:平裝

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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.

492923/4391764488

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