Decompositions of manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Orlando u.a.
Acad. Press
1986
|
| Schriftenreihe: | Pure and applied mathematics
124 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 317 S. |
| ISBN: | 0122042204 |
Internformat
MARC
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| 245 | 1 | 0 | |a Decompositions of manifolds |
| 264 | 1 | |a Orlando u.a. |b Acad. Press |c 1986 | |
| 300 | |a XI, 317 S. | ||
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| 650 | 4 | |a Décomposition (Mathématiques) | |
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| 650 | 4 | |a Variétés (Mathématiques) | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 4 | |a Manifolds (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804114994056396800 |
|---|---|
| adam_text | CONTENTS
Preface ix
Acknowledgments xi
Introduction 1
I Preliminaries
1. Elementary Properties of Upper Semicontinuous
Decompositions 7
2. Upper Semicontinuous Decompositions 13
3. Proper Maps 15
4. Monotone Decompositions 17
II The Shrinkability Criterion
5. Shrinkable Decompositions 23
6. Cellular Sets 35
7. Countable Decompositions and Shrinkability 41
8. Countable Decompositions of E 50
9. Some Cellular Decompositions of E3 61
10. Products of Decompositions with a Line 81
11. Squeezing a 2 Cell to an Arc 94
12. The Double Suspension of a Certain Homology Sphere 102
13. Applications of the Local Contractability of Manifold
Homeomorphism Groups 107
III Cell Like Decompositions of Absolute Neighborhood Retracts
14. Absolute Retracts and Absolute Neighborhood Retracts 114
V
vi Contents
15. Cell Like Sets 120
16. t/K Properties and Decompositions 123
17. Cell Like Decompositions and Dimension 129
18. The Cellularity Criterion and Decompositions 143
IV The Cell Like Approximation Theorem
19. Characterizing Shrinkable Decompositions of Manifolds
—the Simple Test 149
20. Amalgamating Decompositions 151
21. The Concept of Embedding Dimension 158
22. Shrinking Special O Dimensional Decompositions 166
23. Shrinking Special (« 3) Dimensional Decompositions 171
24. The Disjoint Disks Property and the Cell Like Approximation
Theorem 178
25. Cell Like Decompositions of 2 Manifolds—the Moore Theorem 187
V Shrinkable Decompositions
26. Products of E1 and E1 with Decompositions 190
27. Products off1 with Decompositions of E3 206
28. Spun Decompositions 212
29. Products of Generalized Manifolds 223
30. A Mismatch Property in Locally Spherical Decomposition
Spaces 227
31. Sliced Decomposition off *1 232
VI Nonshrinkable Decompositions
32. Nonshrinkable Cellular Decompositions Obtained by Mixing 239
33. Nonshrinkable Null Sequence Cellular Decompositions
Obtained by Amalgamating 241
34. Nested Defining Sequences for Decompositions 245
35. Cell Like but Totally Noncellular Decompositions 251
36. Measures of Complexity in Decomposition Spaces 256
37. Defining Sequences for Decompositions 260
VII Applications to Manifolds
38. Gropes and Closed /i Cell Complements 265
39. Replacement Procedures for Improving Generalized Manifolds 274
Contents vii
40. Resolutions and Applications 284
41. Mapping Cylinder Neighborhoods 291
Appendix 300
References 303
Index 313
|
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| id | DE-604.BV000553189 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:15:33Z |
| institution | BVB |
| isbn | 0122042204 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000340265 |
| oclc_num | 13361166 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-83 DE-11 DE-188 |
| physical | XI, 317 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Acad. Press |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Daverman, Robert J. 1941- Verfasser (DE-588)141996625 aut Decompositions of manifolds Orlando u.a. Acad. Press 1986 XI, 317 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 124 Décomposition (Mathématiques) Manifolds gtt Ontleding (wiskunde) gtt Variétés (Mathématiques) Decomposition (Mathematics) Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Dekomposition (DE-588)4149030-7 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dekomposition (DE-588)4149030-7 s DE-604 Zerlegung Mathematik (DE-588)4190746-2 s Erscheint auch als Online-Ausgabe 978-1-4704-3119-8 Pure and applied mathematics 124 (DE-604)BV010177228 124 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000340265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Daverman, Robert J. 1941- Decompositions of manifolds Pure and applied mathematics Décomposition (Mathématiques) Manifolds gtt Ontleding (wiskunde) gtt Variétés (Mathématiques) Decomposition (Mathematics) Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd Dekomposition (DE-588)4149030-7 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4149030-7 (DE-588)4190746-2 |
| title | Decompositions of manifolds |
| title_auth | Decompositions of manifolds |
| title_exact_search | Decompositions of manifolds |
| title_full | Decompositions of manifolds |
| title_fullStr | Decompositions of manifolds |
| title_full_unstemmed | Decompositions of manifolds |
| title_short | Decompositions of manifolds |
| title_sort | decompositions of manifolds |
| topic | Décomposition (Mathématiques) Manifolds gtt Ontleding (wiskunde) gtt Variétés (Mathématiques) Decomposition (Mathematics) Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd Dekomposition (DE-588)4149030-7 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| topic_facet | Décomposition (Mathématiques) Manifolds Ontleding (wiskunde) Variétés (Mathématiques) Decomposition (Mathematics) Manifolds (Mathematics) Mannigfaltigkeit Dekomposition Zerlegung Mathematik |
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