The Hauptvermutung book: a collection of papers of the topology of manifolds
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | K-monographs in mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 190 S. Ill., graph. Darst. |
| ISBN: | 0792341740 |
Internformat
MARC
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| 245 | 1 | 0 | |a The Hauptvermutung book |b a collection of papers of the topology of manifolds |c by A. A. Ranicki (ed.) ... |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1996 | |
| 300 | |a VI, 190 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a K-monographs in mathematics |v 1 | |
| 650 | 7 | |a Conjecture fondamentale de la topologie combinatoire |2 ram | |
| 650 | 7 | |a Variétés topologiques |2 ram | |
| 650 | 4 | |a Hauptvermutung (Topology) | |
| 650 | 4 | |a Topological manifolds | |
| 650 | 0 | 7 | |a Topologische Mannigfaltigkeit |0 (DE-588)4185712-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Topologische Mannigfaltigkeit |0 (DE-588)4185712-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ranicki, Andrew |d 1948-2018 |e Sonstige |0 (DE-588)120140500 |4 oth | |
| 830 | 0 | |a K-monographs in mathematics |v 1 |w (DE-604)BV011222840 |9 1 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008324670 | ||
Datensatz im Suchindex
| _version_ | 1804126902809526272 |
|---|---|
| adam_text | Contents
Preface 1
On the Hauptvermutung
(by A.A.Ranicki, 1996)
1. Introduction 3
2. The Polyhedral Hauptvermutung 6
3. The Rochlin Invariant 11
4. The Manifold Hauptvermutung 13
5. Homology Manifolds 23
References 29
Generalisations and Applications of Block Bundles
(by A.J.Casson, 1967)
Introduction 33
I. Block Bundles 35
II. Homotopy Properties of Block Bundles 43
III. Tangential Properties of Block Bundles 49
IV. Periodicity of G/PL 55
V. Topologically Trivial Block Bundles 59
References 67
Triangulating Homotopy Equivalences and Homeomorphisms.
Geometric Topology Seminar Notes
(by D.P.Sullivan, 1967)
Introduction 69
I. Triangulating and Smoothing Homotopy Equivalences 69
II. The Characteristic Bundle of a Homotopy Equivalence 80
III. The Hauptvermutung 93
References . % 103
The Princeton Notes on the Hauptvermutung
(by M.A.Armstrong, C.P.Rourke, G.E.Cooke)
Preface (1996) 105
I. The Hauptvermutung According to Lashof and Rothenberg
(by M.A.Armstrong, 1968)
1. Introduction 107
2. Splitting theorems 110
3. Siebenmann s collaring theorems 112
4. Proof of the splitting theorem 116
5. Proof of the relative splitting theorem 121
6. The trivialization problem 123
vi
References 125
II. The Hauptvermutung according to Casson and Sullivan
(by C.P.Rourke, 1968)
1. Introduction 129
2. Notation and basic definitions 132
3. An account of Sullivan theory 138
4. Surgery obstructions 143
5. The canonical Novikov homotopy 148
6. Weaker hypotheses 151
7. Refinements of the Main Theorem 154
8. Block bundles and homotopy equivalences 157
References 162
III. The Hauptvermutung according to Casson and Sullivan
(by G.E.Cooke, 1968)
1. Introduction 165
2. Principal fibrations 166
3. Postnikov systems 167
4. Application to G/PL and the Hauptvermutung 173
References 186
Coda: Connection with the results of Kirby and Siebenmann
(by C.P.Rourke, 1972) 189
References 190
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
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| dewey-search | 514/.223 |
| dewey-sort | 3514 3223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012280273 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:24:50Z |
| institution | BVB |
| isbn | 0792341740 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008324670 |
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| physical | VI, 190 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | K-monographs in mathematics |
| series2 | K-monographs in mathematics |
| spelling | The Hauptvermutung book a collection of papers of the topology of manifolds by A. A. Ranicki (ed.) ... Dordrecht [u.a.] Kluwer 1996 VI, 190 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier K-monographs in mathematics 1 Conjecture fondamentale de la topologie combinatoire ram Variétés topologiques ram Hauptvermutung (Topology) Topological manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 s DE-604 Ranicki, Andrew 1948-2018 Sonstige (DE-588)120140500 oth K-monographs in mathematics 1 (DE-604)BV011222840 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008324670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The Hauptvermutung book a collection of papers of the topology of manifolds K-monographs in mathematics Conjecture fondamentale de la topologie combinatoire ram Variétés topologiques ram Hauptvermutung (Topology) Topological manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| subject_GND | (DE-588)4185712-4 |
| title | The Hauptvermutung book a collection of papers of the topology of manifolds |
| title_auth | The Hauptvermutung book a collection of papers of the topology of manifolds |
| title_exact_search | The Hauptvermutung book a collection of papers of the topology of manifolds |
| title_full | The Hauptvermutung book a collection of papers of the topology of manifolds by A. A. Ranicki (ed.) ... |
| title_fullStr | The Hauptvermutung book a collection of papers of the topology of manifolds by A. A. Ranicki (ed.) ... |
| title_full_unstemmed | The Hauptvermutung book a collection of papers of the topology of manifolds by A. A. Ranicki (ed.) ... |
| title_short | The Hauptvermutung book |
| title_sort | the hauptvermutung book a collection of papers of the topology of manifolds |
| title_sub | a collection of papers of the topology of manifolds |
| topic | Conjecture fondamentale de la topologie combinatoire ram Variétés topologiques ram Hauptvermutung (Topology) Topological manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| topic_facet | Conjecture fondamentale de la topologie combinatoire Variétés topologiques Hauptvermutung (Topology) Topological manifolds Topologische Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008324670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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