Fiber bundles and homotopy:
"This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy ap...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2021
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book."-- |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (336 Seiten) |
| ISBN: | 9789811238093 981123809X |
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| 500 | |a Includes bibliographical references and index | ||
| 520 | |a "This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book."-- | ||
| 650 | 4 | |a Fiber bundles (Mathematics) | |
| 650 | 4 | |a Homotopy theory | |
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Datensatz im Suchindex
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| author_sort | Tamaki, Dai 1964- |
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| dewey-full | 514/.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.224 |
| dewey-search | 514/.224 |
| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047360894 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:41:08Z |
| indexdate | 2024-07-10T09:09:59Z |
| institution | BVB |
| isbn | 9789811238093 981123809X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032762882 |
| oclc_num | 1260150041 |
| open_access_boolean | |
| physical | 1 Online-Ressource (336 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Tamaki, Dai 1964- Verfasser aut Fiber bundles and homotopy Dai Tamaki Singapore World Scientific ©2021 1 Online-Ressource (336 Seiten) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index "This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book."-- Fiber bundles (Mathematics) Homotopy theory Electronic books Erscheint auch als Druck-Ausgabe 9789811237997 Erscheint auch als Druck-Ausgabe 9811237999 https://www.worldscientific.com/worldscibooks/10.1142/12308#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Tamaki, Dai 1964- Fiber bundles and homotopy Fiber bundles (Mathematics) Homotopy theory |
| title | Fiber bundles and homotopy |
| title_auth | Fiber bundles and homotopy |
| title_exact_search | Fiber bundles and homotopy |
| title_exact_search_txtP | Fiber bundles and homotopy |
| title_full | Fiber bundles and homotopy Dai Tamaki |
| title_fullStr | Fiber bundles and homotopy Dai Tamaki |
| title_full_unstemmed | Fiber bundles and homotopy Dai Tamaki |
| title_short | Fiber bundles and homotopy |
| title_sort | fiber bundles and homotopy |
| topic | Fiber bundles (Mathematics) Homotopy theory |
| topic_facet | Fiber bundles (Mathematics) Homotopy theory |
| url | https://www.worldscientific.com/worldscibooks/10.1142/12308#t=toc |
| work_keys_str_mv | AT tamakidai fiberbundlesandhomotopy |