| Sheaf Theory 1997. Softcover Edition Contributor(s): Bredon, Glen E. (Author) |
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ISBN: 1461268540 ISBN-13: 9781461268543 Publisher: Springer OUR PRICE: $80.70 Product Type: Paperback - Other Formats Published: September 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Algebra - General |
| Dewey: 514.2 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 1.05" H x 6.14" W x 9.21" (1.60 lbs) 504 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 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. |
