Elements of topological dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer
1993
|
| Schriftenreihe: | Mathematics and its applications
257 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 748 S. graph. Darst. |
| ISBN: | 0792322878 |
Internformat
MARC
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| 245 | 1 | 0 | |a Elements of topological dynamics |c by J. de Vries |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1993 | |
| 300 | |a XVI, 748 S. |b graph. Darst. | ||
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| 490 | 1 | |a Mathematics and its applications |v 257 | |
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Datensatz im Suchindex
| _version_ | 1804122735539912704 |
|---|---|
| adam_text | Contents
Preface ix
Notation xiii
Chapter I: Various aspects of the theory of dynamical systems 1
1. Dynamical systems 1
2. Ergodic theory 16
3. Differentiable dynamics 22
4. Notes 37
Chapter II: Continuous and discrete flows 49
1. Basic notions for continuous and discrete flows 49
2. Limit sets and recurrence 55
3. Minimal sets and almost periodic points 66
4. Transitive behaviour of open sets 73
5. Continuous vs. discrete flows 85
6. Invariant measures 94
7. Morphisms of flows 99
8. The construction oftopologically ergodic, weakly mixing and minimal
skew extensions 108
9. Illustrations 121
10. Notes 140
Chapter III: Important examples 151
1. Flows on circles and tori 151
2. Shift systems 162
3. Function spaces 203
4. The horocycle flow and the geodesic flow 212
5. Illustrations 234
6. Notes 256
Chapter IV: The general framework 269
1. Topological dynamics in the framework of T spaces 269
2. Equicontinuous, distal and proximal flows 278
3. £Yfo semigroups and the universal enveloping semigroup 299
4. Pointed flows, ambits, and universal ambits 323
5. Subalgebras ofRUC (T) and ambits 343
6. Illustrations 358
7. Azores 384
viii
Chapter V: Equicontinuity and distality 396
1. The equicontinuous structure relation 396
2. Distal and equicontinuous extensions 409
3. The Furstenberg structure theorem All
4. Ellis groups and algebraic characterization of distal extensions 445
5. The circle operation, t topologies, and equicontinuous extensions 463
6. Illustrations 478
7. Notes 502
Chapter VI: Structure of extensions 514
1. Construction of the G diagram 514
2. RIC extensions 529
3. The AG diagram and the improved G diagram 539
4. The Veech structure theorem 550
5. Universal extensions 577
6. Illustrations 596
7. iVo/es 620
Appendices 627
Appendix A: Topology 627
Appendix B: Compact right semitopological semigroups 641
Appendix C: Integration 650
Appendix D: Enveloping semigroups and compactifications 662
Appendix E: Topological transformation groups 668
References 691
Index of authors 720
Index of symbols 726
Index of terms 729
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:18:36Z |
| institution | BVB |
| isbn | 0792322878 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005509550 |
| oclc_num | 27812798 |
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| physical | XVI, 748 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Vries, Jan de Verfasser aut Elements of topological dynamics by J. de Vries Dordrecht u.a. Kluwer 1993 XVI, 748 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 257 Dynamique topologique ram Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s DE-604 Mathematics and its applications 257 (DE-604)BV008163334 257 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005509550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vries, Jan de Elements of topological dynamics Mathematics and its applications Dynamique topologique ram Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd |
| subject_GND | (DE-588)4253345-4 |
| title | Elements of topological dynamics |
| title_auth | Elements of topological dynamics |
| title_exact_search | Elements of topological dynamics |
| title_full | Elements of topological dynamics by J. de Vries |
| title_fullStr | Elements of topological dynamics by J. de Vries |
| title_full_unstemmed | Elements of topological dynamics by J. de Vries |
| title_short | Elements of topological dynamics |
| title_sort | elements of topological dynamics |
| topic | Dynamique topologique ram Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd |
| topic_facet | Dynamique topologique Topological dynamics Topologische Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005509550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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