Control and relaxation over the circle:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2000
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
691 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 145, Number 691 (end of volume) |
| Beschreibung: | IX, 96 S. graph. Darst. |
| ISBN: | 0821820699 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804127967468584960 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction and Statement of Results 1
1.1. Introduction 1
1.2. Statement of Results 3
Chapter 2. Moduli Spaces of Manifolds and Maps 9
2.1. The Simplicial Set of Manifolds 9
2.2. The Simplicial Set of Manifold Approximate Fibrations 10
2.3. The Simplicial Set of Manifold Bands 11
2.4. The Forget Control Map 16
Chapter 3. Wrapping up and Unwrapping as Simplicial Maps 18
3.1. Unwrapping 18
3.2. Wrapping Up 21
3.3. Definition of w 23
3.4. Classifying Space Interpretation 24
3.5. Independence of Covering Isotopy 28
Chapter 4. Relaxation as a Simplicial Map 30
Chapter 5. The Whitehead Spaces 32
5.1. The Controlled Whitehead Space 32
5.2. Abelian Monoid like Structures 33
5.3. The Various Simplicial Maps 35
5.4. The Forget Control Map 36
5.5. The Unwrapping Map 37
5.6. The Wrapping Up Map 37
5.7. Classifying Space Interpretation 38
5.8. Delooping the Whitehead Space 40
5.9. The Relaxation Map 40
5.10. The Boundedness Condition on the Infinite Cyclic Cover 41
5.11. Bounded Whitehead and Pseudoisotopy Spaces 42
Chapter 6. Torsion and a Higher Sum Theorem 44
Chapter 7. Nil as a Geometrically Defined Simplicial Set 48
7.1. Preliminaries 48
7.2. The Simplicial Set of Nil Simplices 49
7.3. The Simplicial Maps
p± : Wh(XxRnxSl Kn) Afil(XxRn R ) 54
7.4. The Homomorphism P*J^a Split Epimorphism 58
7.5. Homotopy Inverses for Mil{X xRn R ) 61
vii
viii CONTENTS
Chapter 8. Transfers 63
8.1. Transfers for Manifold Approximate Fibrations 63
8.2. Transfers for Whitehead Spaces 66
Chapter 9. Completion of the Proof 72
9.1. Preliminaries and Notation 72
9.2. Description of Finite Structures on Mapping Tori 74
9.3. Definition of an Embedding M » T(w) 75
9.4. Definition of the Relaxation 76
9.5. Splittings 77
9.6. Splitting of T , Second Splitting of T{w) 81
9.7. Completion of the Proof 84
Chapter 10. Comparison with the Lower Algebraic Nil Groups 86
10.1. Preliminaries on the Algebraic Lower Nil Groups 86
10.2. The Definition of the Homomorphism between Algebraic
and Geometric Nil groups 87
10.3. Delooping of Nil spaces 89
Appendix A. Controlled Homotopies on Mapping Tori 92
Bibliography 95
|
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| id | DE-604.BV013212700 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:41:46Z |
| institution | BVB |
| isbn | 0821820699 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009001938 |
| oclc_num | 247674171 |
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| physical | IX, 96 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hughes, Bruce Verfasser aut Control and relaxation over the circle Bruce Hughes ; Stratos Prassidis Providence, RI American Math. Soc. 2000 IX, 96 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 691 Volume 145, Number 691 (end of volume) Unendlichdimensionale Mannigfaltigkeit (DE-588)4433823-5 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf Unendlichdimensionale Mannigfaltigkeit (DE-588)4433823-5 s K-Theorie (DE-588)4033335-8 s DE-604 Prassidis, Stratos 1962- Sonstige (DE-588)113951485 oth American Mathematical Society: Memoirs of the American Mathematical Society 691 (DE-604)BV008000141 691 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009001938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hughes, Bruce Control and relaxation over the circle American Mathematical Society: Memoirs of the American Mathematical Society Unendlichdimensionale Mannigfaltigkeit (DE-588)4433823-5 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4433823-5 (DE-588)4033335-8 |
| title | Control and relaxation over the circle |
| title_auth | Control and relaxation over the circle |
| title_exact_search | Control and relaxation over the circle |
| title_full | Control and relaxation over the circle Bruce Hughes ; Stratos Prassidis |
| title_fullStr | Control and relaxation over the circle Bruce Hughes ; Stratos Prassidis |
| title_full_unstemmed | Control and relaxation over the circle Bruce Hughes ; Stratos Prassidis |
| title_short | Control and relaxation over the circle |
| title_sort | control and relaxation over the circle |
| topic | Unendlichdimensionale Mannigfaltigkeit (DE-588)4433823-5 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Unendlichdimensionale Mannigfaltigkeit K-Theorie |
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