Surgery Theory and Geometry of Representations:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Basel
Birkhäuser Basel
1988
|
Schriftenreihe: | DMV Seminar
11 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | These notes were prepared for the DMV-Seminar held in Düsseldorf, Schloss Mickeln from June 28 to July 5, 1987. They consist of two parts which can be read independently. The reader is presumed to have a basic education in differential and algebraic topology. Surgery theory is the basic tool for the investigation of differential and topological manifolds. A systematic development of the theory is a long and difficult task. The purpose of these notes is to describe simple examples and at the same time to give an introduction to some of the systematic parts of the theory. The first part is concerned with examples. They are related to representations of finite groups and group actions on spheres, and are considered as a generalisation of the spherical space form problem. The second part reviews the general setting of surgery theory and reports on the computation of the surgery abstraction groups. Both parts present material not covered in any textbook and also give an introduction to the literature and areas of research. 1. REPRESENTATION FORMS AND HOMOTOPY REPRESENTATIONS. Tammo tom Dieck Mathematical Institute Gottingen University Fed. Rep. of Germany Let G be a (finite) group. We consider group actions of G on spheres and spherelike spaces |
Beschreibung: | 1 Online-Ressource (VIII, 115 p) |
ISBN: | 9783034891677 9783764322045 |
DOI: | 10.1007/978-3-0348-9167-7 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Tom Dieck, Tammo 1938- |
author_GND | (DE-588)124473091 (DE-588)1078391521 |
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dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 050 - General serial publications |
dewey-raw | 50 |
dewey-search | 50 |
dewey-sort | 250 |
dewey-tens | 050 - General serial publications |
discipline | Allgemeine Naturwissenschaft Mathematik |
doi_str_mv | 10.1007/978-3-0348-9167-7 |
format | Electronic eBook |
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isbn | 9783034891677 9783764322045 |
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spelling | Tom Dieck, Tammo 1938- Verfasser (DE-588)124473091 aut Surgery Theory and Geometry of Representations by Tammo Dieck, Ian Hambleton Basel Birkhäuser Basel 1988 1 Online-Ressource (VIII, 115 p) txt rdacontent c rdamedia cr rdacarrier DMV Seminar 11 These notes were prepared for the DMV-Seminar held in Düsseldorf, Schloss Mickeln from June 28 to July 5, 1987. They consist of two parts which can be read independently. The reader is presumed to have a basic education in differential and algebraic topology. Surgery theory is the basic tool for the investigation of differential and topological manifolds. A systematic development of the theory is a long and difficult task. The purpose of these notes is to describe simple examples and at the same time to give an introduction to some of the systematic parts of the theory. The first part is concerned with examples. They are related to representations of finite groups and group actions on spheres, and are considered as a generalisation of the spherical space form problem. The second part reviews the general setting of surgery theory and reports on the computation of the surgery abstraction groups. Both parts present material not covered in any textbook and also give an introduction to the literature and areas of research. 1. REPRESENTATION FORMS AND HOMOTOPY REPRESENTATIONS. Tammo tom Dieck Mathematical Institute Gottingen University Fed. Rep. of Germany Let G be a (finite) group. We consider group actions of G on spheres and spherelike spaces Science (General) Science, general Naturwissenschaft Chirurgie Mathematik (DE-588)4200269-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Geometrie (DE-588)4020236-7 s DE-604 Chirurgie Mathematik (DE-588)4200269-2 s 1\p DE-604 Hambleton, Ian 1946- Sonstige (DE-588)1078391521 oth Erscheint auch als Druck-Ausgabe 978-3-7643-2204-5 DMV Seminar 11 (DE-604)BV000020322 11 https://doi.org/10.1007/978-3-0348-9167-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Tom Dieck, Tammo 1938- Surgery Theory and Geometry of Representations DMV Seminar Science (General) Science, general Naturwissenschaft Chirurgie Mathematik (DE-588)4200269-2 gnd Geometrie (DE-588)4020236-7 gnd |
subject_GND | (DE-588)4200269-2 (DE-588)4020236-7 (DE-588)1071861417 |
title | Surgery Theory and Geometry of Representations |
title_auth | Surgery Theory and Geometry of Representations |
title_exact_search | Surgery Theory and Geometry of Representations |
title_full | Surgery Theory and Geometry of Representations by Tammo Dieck, Ian Hambleton |
title_fullStr | Surgery Theory and Geometry of Representations by Tammo Dieck, Ian Hambleton |
title_full_unstemmed | Surgery Theory and Geometry of Representations by Tammo Dieck, Ian Hambleton |
title_short | Surgery Theory and Geometry of Representations |
title_sort | surgery theory and geometry of representations |
topic | Science (General) Science, general Naturwissenschaft Chirurgie Mathematik (DE-588)4200269-2 gnd Geometrie (DE-588)4020236-7 gnd |
topic_facet | Science (General) Science, general Naturwissenschaft Chirurgie Mathematik Geometrie Konferenzschrift |
url | https://doi.org/10.1007/978-3-0348-9167-7 |
volume_link | (DE-604)BV000020322 |
work_keys_str_mv | AT tomdiecktammo surgerytheoryandgeometryofrepresentations AT hambletonian surgerytheoryandgeometryofrepresentations |