Higher-dimensional generalized manifolds: surgery and constructions
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Zürich
European Mathematical Society
[2016]
|
| Schriftenreihe: | EMS series of lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | DE-188 DE-91 DE-19 DE-355 DE-703 URL des Erstveröffentlichers Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (vi, 146 Seiten) |
| ISBN: | 9783037196564 |
| DOI: | 10.4171/156 |
Internformat
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Datensatz im Suchindex
| _version_ | 1810452448256458752 |
|---|---|
| adam_text |
Titel: Higher-dimensional generalized manifolds: surgery and constructions
Autor: Cavicchioli, Alberto
Jahr: 2016
Contents
Preface. v
1 Generalized manifolds: Introduction. 1
1.1 Resolutions of generalized manifolds. 6
1.2 General position properties. 14
2 Surgery theory and applications to resolutions of generalized manifolds . . 19
2.1 Review of surgery theory on compact manifolds. 19
2.2 Surgery spectra, assembly maps, and Poincaré duality. 35
2.3 Boundedly controlled surgery theory. 46
2.4 Germ methods in bounded surgery theory. Applications to ANR
homology manifolds. 60
2.5 Invariance of the index. Generalized manifolds with boundary. Gluings 74
3 Controlled surgery theory and constructions of generalized manifolds . 79
3.1 The general construction. 80
3.2 Review of Quinn's results. 82
3.3 Technical preliminaries. 89
3.4 Construction of Ak-dimensional generalized manifolds. 91
3.5 The e-J-surgery sequence. 100
3.6 Construction of generalized manifolds using the e-o-surgery sequence
and the theorems of Bryant-Ferry-Mio-Weinberger .107
4 Generalized manifolds and surgery theory.117
4.1 The homology manifold surgery sequence. 117
4.2 Development of homology manifold surgery theory: Normal invariants 121
4.3 Final remarks.124
Bibliography.127
Index.145 |
| any_adam_object | 1 |
| author | Cavicchioli, Alberto 1955- Hegenbarth, Friedrich Repovš, Dušan 1954- |
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| author_sort | Cavicchioli, Alberto 1955- |
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| discipline | Mathematik |
| doi_str_mv | 10.4171/156 |
| format | Electronic eBook |
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| isbn | 9783037196564 |
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| spelling | Cavicchioli, Alberto 1955- Verfasser (DE-588)1124413979 aut Higher-dimensional generalized manifolds surgery and constructions Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš Higher-dimensional generalized manifolds Zürich European Mathematical Society [2016] © 2016 1 Online-Ressource (vi, 146 Seiten) txt rdacontent c rdamedia cr rdacarrier EMS series of lectures in mathematics Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 s DE-604 Hegenbarth, Friedrich Verfasser (DE-588)113081582X aut Repovš, Dušan 1954- Verfasser (DE-588)1124413308 aut Erscheint auch als Druck-Ausgabe 978-3-03719-156-9 https://doi.org/10.4171/156 Verlag URL des Erstveröffentlichers Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029012804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cavicchioli, Alberto 1955- Hegenbarth, Friedrich Repovš, Dušan 1954- Higher-dimensional generalized manifolds surgery and constructions Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| subject_GND | (DE-588)4185712-4 |
| title | Higher-dimensional generalized manifolds surgery and constructions |
| title_alt | Higher-dimensional generalized manifolds |
| title_auth | Higher-dimensional generalized manifolds surgery and constructions |
| title_exact_search | Higher-dimensional generalized manifolds surgery and constructions |
| title_full | Higher-dimensional generalized manifolds surgery and constructions Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš |
| title_fullStr | Higher-dimensional generalized manifolds surgery and constructions Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš |
| title_full_unstemmed | Higher-dimensional generalized manifolds surgery and constructions Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš |
| title_short | Higher-dimensional generalized manifolds |
| title_sort | higher dimensional generalized manifolds surgery and constructions |
| title_sub | surgery and constructions |
| topic | Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| topic_facet | Topologische Mannigfaltigkeit |
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