Differential topology:
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giv...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
156 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology |
| Beschreibung: | 1 Online-Ressource (vii, 346 Seiten) |
| ISBN: | 9781316597835 |
| DOI: | 10.1017/CBO9781316597835 |
Internformat
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Datensatz im Suchindex
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| author | Wall, C. T. C. 1936- |
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| author_sort | Wall, C. T. C. 1936- |
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| dewey-full | 514.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.72 |
| dewey-search | 514.72 |
| dewey-sort | 3514.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316597835 |
| format | Electronic eBook |
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| id | DE-604.BV043946080 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:25Z |
| institution | BVB |
| isbn | 9781316597835 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029355051 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 Online-Ressource (vii, 346 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Wall, C. T. C. 1936- Verfasser (DE-588)107575256 aut Differential topology C. T. C. Wall Cambridge Cambridge University Press 2016 1 Online-Ressource (vii, 346 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 156 Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology Differential topology Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-15352-3 Cambridge studies in advanced mathematics 156 (DE-604)BV044781283 156 https://doi.org/10.1017/CBO9781316597835 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Wall, C. T. C. 1936- Differential topology Cambridge studies in advanced mathematics Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4012255-4 |
| title | Differential topology |
| title_auth | Differential topology |
| title_exact_search | Differential topology |
| title_full | Differential topology C. T. C. Wall |
| title_fullStr | Differential topology C. T. C. Wall |
| title_full_unstemmed | Differential topology C. T. C. Wall |
| title_short | Differential topology |
| title_sort | differential topology |
| topic | Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Differential topology Differentialtopologie |
| url | https://doi.org/10.1017/CBO9781316597835 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT wallctc differentialtopology |