Sheaf Theory /
This book is 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. There are several innovations in this book. The concept of the &q...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1997.
|
| Edition: | Second edition. |
| Series: | Graduate texts in mathematics ;
170. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book is 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. There are several innovations in this book. The concept of the "tautness" of a subspace is introduced and exploited throughout the book. The fact that sheaf theoretic cohomology satisfies the homotopy property is proved for general topological spaces. Relative cohomology is introduced into sheaf theory. The reader should have a thorough background in elementary homological algebra and in algebraic topology. A list of exercises at the end of each chapter will help the student to learn the material, and solutions of many of the exercises are given in an appendix. The new edition of this classic in the field has been substantially rewritten with the addition of over 80 examples and of further explanatory material. Among the items added are new sections on Cech cohomology, the Oliver transfer, intersection theory, generalized manifolds, locally homogeneous spaces, homological fibrations and. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 502 pages) |
| ISBN: | 9781461206477 (electronic bk.) 1461206472 (electronic bk.) |
| ISSN: | 0072-5285 ; |