Algebraic Topology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1966
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XIV, 548p) |
| ISBN: | 9781468493221 9780387944265 |
| DOI: | 10.1007/978-1-4684-9322-1 |
Staff View
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Record in the Search Index
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| dewey-full | 514.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9322-1 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
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| isbn | 9781468493221 9780387944265 |
| language | English |
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| spelling | Spanier, Edwin H. Verfasser aut Algebraic Topology by Edwin H. Spanier New York, NY Springer New York 1966 1 Online-Ressource (XIV, 548p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebraische Topologie (DE-588)4120861-4 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-9322-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Spanier, Edwin H. Algebraic Topology Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4123623-3 |
| title | Algebraic Topology |
| title_auth | Algebraic Topology |
| title_exact_search | Algebraic Topology |
| title_full | Algebraic Topology by Edwin H. Spanier |
| title_fullStr | Algebraic Topology by Edwin H. Spanier |
| title_full_unstemmed | Algebraic Topology by Edwin H. Spanier |
| title_short | Algebraic Topology |
| title_sort | algebraic topology |
| topic | Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4684-9322-1 |
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