Algebraic Topology /
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1981.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (XIV, 548 pages) |
| ISBN: | 9781468493221 (electronic bk.) 1468493221 (electronic bk.) |