Items related to Sheaf Theory: 170 (Graduate Texts in Mathematics, 170)
Primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems", the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the "tautness" of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the homotopy property is proved for general topological spaces; and relative cohomology is introduced into sheaf theory. A list of exercises at the end of each chapter helps students to learn the material, and solutions to many of the exercises are given in an appendix. This new edition of a classic has been substantially rewritten and now includes some 80 additional examples and further explanatory material, as well as new sections on Cech cohomology, the Oliver transfer, intersection theory, generalised manifolds, locally homogeneous spaces, homological fibrations and p- adic transformation groups. Readers should have a thorough background in elementary homological algebra and in algebraic topology.
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- PublisherSpringer
- Publication date2012
- ISBN 10 1461268540
- ISBN 13 9781461268543
- BindingPaperback
- Number of pages515
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Sheaf Theory (Graduate Texts in Mathematics (170)) by Bredon, Glen E. [Paperback ]
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Sheaf Theory
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Primarily concerned with the study of cohomology theories of general topological spaces with 'general coefficient systems', the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the 'tautness' of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the homotopy property is proved for general topological spaces; and relative cohomology is introduced into sheaf theory. A list of exercises at the end of each chapter helps students to learn the material, and solutions to many of the exercises are given in an appendix. This new edition of a classic has been substantially rewritten and now includes some 80 additional examples and further explanatory material, as well as new sections on Cech cohomology, the Oliver transfer, intersection theory, generalised manifolds, locally homogeneous spaces, homological fibrations and p- adic transformation groups. Readers should have a thorough background in elementary homological algebra and in algebraic topology. 524 pp. Englisch. Seller Inventory # 9781461268543
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Sheaf Theory (Graduate Texts in Mathematics)
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781461268543
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is primarily concerned with the study of cohomology theories of general topological spaces with general coefficient systems. The reader should have a thorough background in elementary homological algebra and in algebraic topology. A list of exer. Seller Inventory # 4189491
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