Dynamics of topologically generic homeomorphisms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2003
|
| Series: | Memoirs of the American Mathematical Society
783 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 164, number 783 (end of volume)." |
| Physical Description: | VII, 130 S. graph. Darst. |
| ISBN: | 0821833383 |
Staff View
MARC
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| 245 | 1 | 0 | |a Dynamics of topologically generic homeomorphisms |c Ethan Akin ; Mike Hurley ; Judy A. Kennedy |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2003 | |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
0.1. Overview 1
0.2. Description of results 2
0.3. Brief remarks about techniques 5
0.4. Comparison with the smooth case 6
0.5. Standing notation 7
0.6. Road map 8
0.7. Comments 8
Chapter 1. Attractors and Chain Recurrence 11
1.1. Chain recurrence 11
1.2. Attractors 13
1.3. Attractor repellor pairs 15
1.4. Initial and terminal chain components 16
1.5. The space(s) of chain components 17
1.6. Summary 18
Chapter 2. Periodic Decompositions and Adding Machines 21
2.1. Periodic decompositions 21
2.2. The sets n^ and n^,^ 22
2.3. Adding machines 23
2.4. Decompositions of hi type 25
2.5. Periodicity conditions 28
Chapter 3. Semicontinuity and Homogeneity 31
3.1. Semicontinuity 31
3.2. Prolongation 32
3.3. The automorphism group 33
3.4. Homogeneity conditions 35
3.5. Showing fi(/) = C(f) 36
Chapter 4. Crushing Arguments 39
4.1. Sponges 39
4.2. Crushing 44
Chapter 5. Topological Horseshoes 53
5.1. Connected successions of subsets 53
5.2. Topological horseshoes 54
5.3. Perturbing to a horseshoe 57
Chapter 6. Generic Homeomorphisms 65
vi CONTENTS
6.1. The classes H and Hi,s 65
6.2. The class H3,s 70
6.3. Dynamic isolation 73
6.4. Attractor boundaries are quasi attractors 73
6.5. Shift extensions and the class H4 75
Chapter 7. Almost Equicontinuity 79
7.1. Chain continuity 81
Chapter 8. Cantor Sets 85
8.1. Aperiodicity and the class H5 85
8.2. The class Tie 86
8.3. Rohlin property 89
8.4. The class H^c 90
Chapter 9. The Circle 97
9.1. Background 97
9.2. The class Hi on S1 99
9.3. Relative Rohlin property 103
Chapter 10. Crushing the Chain Recurrent Set 107
Chapter 11. Generic Homeomorphisms on Manifolds 115
11.1. The class Hs 115
11.2. The class Hman 116
11.3. Anosov homeomorphisms 116
Chapter 12. Generic Mappings on Manifolds 121
Bibliography 125
Index 129
|
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| author | Akin, Ethan 1946- |
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| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514 |
| dewey-search | 510 514 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV017038930 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:13:03Z |
| institution | BVB |
| isbn | 0821833383 |
| language | English |
| lccn | 2003048026 |
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| physical | VII, 130 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Akin, Ethan 1946- Verfasser (DE-588)109074149 aut Dynamics of topologically generic homeomorphisms Ethan Akin ; Mike Hurley ; Judy A. Kennedy Providence, R.I. American Mathematical Society 2003 VII, 130 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 783 "Volume 164, number 783 (end of volume)." Dynamische systemen gtt Homeomorfismen gtt Topologische dynamica gtt Homeomorphisms Metric spaces Topological dynamics Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Homöomorphismus (DE-588)4352383-3 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Homöomorphismus (DE-588)4352383-3 s Topologische Dynamik (DE-588)4253345-4 s Metrischer Raum (DE-588)4169745-5 s DE-604 Hurley, Mike 1953- Sonstige (DE-588)1146430779 oth Kennedy, Judy A. 1947- Sonstige (DE-588)173624480 oth Memoirs of the American Mathematical Society 783 (DE-604)BV008000141 783 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Akin, Ethan 1946- Dynamics of topologically generic homeomorphisms Memoirs of the American Mathematical Society Dynamische systemen gtt Homeomorfismen gtt Topologische dynamica gtt Homeomorphisms Metric spaces Topological dynamics Metrischer Raum (DE-588)4169745-5 gnd Homöomorphismus (DE-588)4352383-3 gnd Topologische Dynamik (DE-588)4253345-4 gnd |
| subject_GND | (DE-588)4169745-5 (DE-588)4352383-3 (DE-588)4253345-4 |
| title | Dynamics of topologically generic homeomorphisms |
| title_auth | Dynamics of topologically generic homeomorphisms |
| title_exact_search | Dynamics of topologically generic homeomorphisms |
| title_full | Dynamics of topologically generic homeomorphisms Ethan Akin ; Mike Hurley ; Judy A. Kennedy |
| title_fullStr | Dynamics of topologically generic homeomorphisms Ethan Akin ; Mike Hurley ; Judy A. Kennedy |
| title_full_unstemmed | Dynamics of topologically generic homeomorphisms Ethan Akin ; Mike Hurley ; Judy A. Kennedy |
| title_short | Dynamics of topologically generic homeomorphisms |
| title_sort | dynamics of topologically generic homeomorphisms |
| topic | Dynamische systemen gtt Homeomorfismen gtt Topologische dynamica gtt Homeomorphisms Metric spaces Topological dynamics Metrischer Raum (DE-588)4169745-5 gnd Homöomorphismus (DE-588)4352383-3 gnd Topologische Dynamik (DE-588)4253345-4 gnd |
| topic_facet | Dynamische systemen Homeomorfismen Topologische dynamica Homeomorphisms Metric spaces Topological dynamics Metrischer Raum Homöomorphismus Topologische Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT akinethan dynamicsoftopologicallygenerichomeomorphisms AT hurleymike dynamicsoftopologicallygenerichomeomorphisms AT kennedyjudya dynamicsoftopologicallygenerichomeomorphisms |