Piecewise linear structures on topological manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2016]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xxii, 106 Seiten |
| ISBN: | 9789814733786 |
Internformat
MARC
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| 100 | 1 | |a Rudjak, Julij |d 1948- |e Verfasser |0 (DE-588)115774076 |4 aut | |
| 245 | 1 | 0 | |a Piecewise linear structures on topological manifolds |c Yuli Rudyak, University of Florida, USA |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2016] | |
| 300 | |a xxii, 106 Seiten | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-028842311 | ||
Datensatz im Suchindex
| _version_ | 1804176020288307200 |
|---|---|
| adam_text | Contents
Preface vii
Introduction xi
Graph xix
1. Architecture of the Proof 1
1.1 Some Definitions, Notation, and Conventions............... 1
1.2 Principal Fibrations ..................................... 4
1.3 Preliminaries on Classifying Spaces....................... 7
1.4 Structures on Manifolds and Bundles...................... 16
Î .5 From Manifolds to Bundles................................ 22
1.6 Homotopy PL Structures on T™ x £ * ................ 26
1.7 The Product Structure Theorem............................ 28
1.8 Non-^ontractibility of TOP/PL............................ 30
1.9 Homotopy Groups of TOP ¡PL............................... 32
2. Normal Invariant 37
2.1 Preliminaries on Stable Duality.......................... 37
2.2 Thom Spaces. Proof of Theorem 1.5.6...................... 41
2.3 Normal Morphisms and Normal Bordisms..................... 45
2.4 The Sullivan Map s : [M,G/PL] —► PdimAf ................. 49
2.5 The Homotopy Type of G/PL[2]............................. 52
2.6 Splitting Theorems....................................... 59
2.7 Detecting Families....................................... 65
2.8 Normal Invariant of a Homeomorphism V ֊֊ T™ x Sk . . 67
ix
x Contents
3. Applications and Consequences of the Main Theorem 69
3.1 The Space G/TOP....................................... 69
3.2 The Map a : TOP/PL ֊ G/PL ........................... 73
3.3 Normal Invariant of a Homeomorphism................... 76
3.4 Kirby-Siebenmann Class................................ 77
3.5 Several Examples...................................... 80
3.6 Invariance of Characteristic Classes.................. 84
Appendix 91
Bibliography 95
List of Symbols 103
Index 105
|
| any_adam_object | 1 |
| author | Rudjak, Julij 1948- |
| author_GND | (DE-588)115774076 |
| author_facet | Rudjak, Julij 1948- |
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| dewey-full | 514/.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.34 |
| dewey-search | 514/.34 |
| dewey-sort | 3514 234 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043424442 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:25:32Z |
| institution | BVB |
| isbn | 9789814733786 |
| language | English |
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| physical | xxii, 106 Seiten |
| publishDate | 2016 |
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| publisher | World Scientific |
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| spelling | Rudjak, Julij 1948- Verfasser (DE-588)115774076 aut Piecewise linear structures on topological manifolds Yuli Rudyak, University of Florida, USA New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2016] xxii, 106 Seiten txt rdacontent n rdamedia nc rdacarrier Dreiecksnetz (DE-588)4523606-9 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 s Dreiecksnetz (DE-588)4523606-9 s DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028842311&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rudjak, Julij 1948- Piecewise linear structures on topological manifolds Dreiecksnetz (DE-588)4523606-9 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| subject_GND | (DE-588)4523606-9 (DE-588)4185712-4 |
| title | Piecewise linear structures on topological manifolds |
| title_auth | Piecewise linear structures on topological manifolds |
| title_exact_search | Piecewise linear structures on topological manifolds |
| title_full | Piecewise linear structures on topological manifolds Yuli Rudyak, University of Florida, USA |
| title_fullStr | Piecewise linear structures on topological manifolds Yuli Rudyak, University of Florida, USA |
| title_full_unstemmed | Piecewise linear structures on topological manifolds Yuli Rudyak, University of Florida, USA |
| title_short | Piecewise linear structures on topological manifolds |
| title_sort | piecewise linear structures on topological manifolds |
| topic | Dreiecksnetz (DE-588)4523606-9 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| topic_facet | Dreiecksnetz Topologische Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028842311&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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