Surgery on Simply-Connected Manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1972
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete
65 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces |
| Beschreibung: | 1 Online-Ressource (X, 134 p.) 1 illus |
| ISBN: | 9783642500206 9783642500220 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-50020-6 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-50020-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642500206 9783642500220 |
| issn | 0071-1136 |
| language | English |
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| publishDate | 1972 |
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| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| spelling | Browder, William Verfasser aut Surgery on Simply-Connected Manifolds by William Browder Berlin, Heidelberg Springer Berlin Heidelberg 1972 1 Online-Ressource (X, 134 p.) 1 illus txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete 65 0071-1136 This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces Mathematics Mathematics, general Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s 1\p DE-604 https://doi.org/10.1007/978-3-642-50020-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Browder, William Surgery on Simply-Connected Manifolds Mathematics Mathematics, general Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4037379-4 |
| title | Surgery on Simply-Connected Manifolds |
| title_auth | Surgery on Simply-Connected Manifolds |
| title_exact_search | Surgery on Simply-Connected Manifolds |
| title_full | Surgery on Simply-Connected Manifolds by William Browder |
| title_fullStr | Surgery on Simply-Connected Manifolds by William Browder |
| title_full_unstemmed | Surgery on Simply-Connected Manifolds by William Browder |
| title_short | Surgery on Simply-Connected Manifolds |
| title_sort | surgery on simply connected manifolds |
| topic | Mathematics Mathematics, general Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Mannigfaltigkeit |
| url | https://doi.org/10.1007/978-3-642-50020-6 |
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