Dynamics of topologically generic homeomorphisms:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
783 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | "Volume 164, number 783 (end of volume)." |
| Umfang: | VII, 130 S. graph. Darst. |
| ISBN: | 0821833383 |
Internformat
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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 | |
| 300 | |a VII, 130 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 783 | |
| 500 | |a "Volume 164, number 783 (end of volume)." | ||
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Homeomorfismen |2 gtt | |
| 650 | 7 | |a Topologische dynamica |2 gtt | |
| 650 | 4 | |a Homeomorphisms | |
| 650 | 4 | |a Metric spaces | |
| 650 | 4 | |a Topological dynamics | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010282500 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-783 |
|---|---|
| DE-BY-TUM_katkey | 1409442 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020129833 |
| _version_ | 1821940696255299584 |
| 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
|
| any_adam_object | 1 |
| author | Akin, Ethan 1946- |
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| classification_tum | MAT 546f |
| ctrlnum | (OCoLC)51923582 (DE-599)BVBBV017038930 |
| dewey-full | 510 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514 |
| dewey-search | 510 514 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017038930 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T11:14:08Z |
| institution | BVB |
| isbn | 0821833383 |
| language | English |
| lccn | 2003048026 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010282500 |
| oclc_num | 51923582 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-11 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-11 DE-83 DE-188 |
| physical | VII, 130 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| 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 |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-783
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |