Fibre Bundles:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1966
|
| Edition: | 2. ed. |
| Series: | Graduate texts in mathematics
20 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the definition of fibre bundle had been clearly formulated, the homotopy classification of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirzebruch as modified by Grothendieck |
| Physical Description: | 1 Online-Ressource (XV, 327 p) |
| ISBN: | 9781475740080 9781475740103 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-4008-0 |
Staff View
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| 500 | |a The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the definition of fibre bundle had been clearly formulated, the homotopy classification of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirzebruch as modified by Grothendieck | ||
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Record in the Search Index
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| author | Husemöller, Dale |
| author_GND | (DE-588)117713058 |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
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| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4008-0 |
| edition | 2. ed. |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781475740080 9781475740103 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (XV, 327 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | Springer New York |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Husemöller, Dale Verfasser (DE-588)117713058 aut Fibre Bundles by Dale Husemoller 2. ed. New York, NY Springer New York 1966 1 Online-Ressource (XV, 327 p) txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 20 0072-5285 The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the definition of fibre bundle had been clearly formulated, the homotopy classification of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirzebruch as modified by Grothendieck Mathematics Mathematics, general Mathematik Faserbündel (DE-588)4135582-9 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebraische Topologie (DE-588)4120861-4 s Faserbündel (DE-588)4135582-9 s 2\p DE-604 K-Theorie (DE-588)4033335-8 s 3\p DE-604 Graduate texts in mathematics 20 (DE-604)BV000000067 20 https://doi.org/10.1007/978-1-4757-4008-0 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Husemöller, Dale Fibre Bundles Graduate texts in mathematics Mathematics Mathematics, general Mathematik Faserbündel (DE-588)4135582-9 gnd Algebraische Topologie (DE-588)4120861-4 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4135582-9 (DE-588)4120861-4 (DE-588)4033335-8 (DE-588)4151278-9 |
| title | Fibre Bundles |
| title_auth | Fibre Bundles |
| title_exact_search | Fibre Bundles |
| title_full | Fibre Bundles by Dale Husemoller |
| title_fullStr | Fibre Bundles by Dale Husemoller |
| title_full_unstemmed | Fibre Bundles by Dale Husemoller |
| title_short | Fibre Bundles |
| title_sort | fibre bundles |
| topic | Mathematics Mathematics, general Mathematik Faserbündel (DE-588)4135582-9 gnd Algebraische Topologie (DE-588)4120861-4 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Faserbündel Algebraische Topologie K-Theorie Einführung |
| url | https://doi.org/10.1007/978-1-4757-4008-0 |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT husemollerdale fibrebundles |