Iterated function systems on compact Hausdorff spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker-Verl.
2002
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| Schriftenreihe: | Berichte aus der Mathematik
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 211 S. graph. Darst. |
| ISBN: | 3832207066 |
Internformat
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Datensatz im Suchindex
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| adam_text | BERND KIENINGER ITERATED FUNCTION SYSTEMS ON COMPACT HAUSDORFF SPACES
DISSERTATION ZUR ERLANGUNG DES DOKTORGRADES EINGEREICHT BEIM INSTITUT
FIIR MATHEMATIK DER MATHEMATISCH-NATURWISSENSCHAFTLICHEN FAKULTAT DER
UNIVERSITAT AUGSBURG JUNI, 2002 CONTENTS INTRODUCTION 1 ESSENTIAL
ASPECTS OF THE THESIS 1 SUMMARY OF THE THESIS 5 GENESIS OF THE THESIS 9
1 HYPERSPACE TOPOLOGY 11 1.1 VIETORIS TOPOLOGY 12 1.2 HAUSDORFF METRIC
TOPOLOGY 18 1.3 CONVERGENCE OF NETS OF NONEMPTY COMPACTA 23 1.4
CONTINUITY OF MULTIVALUED MAPS 29 1.5 UNITED EXTENSIONS OF MULTIVALUED
MAPS 36 2 ITERATED FUNCTION SYSTEMS 41 2.1 SYSTEMS, SUBSYSTEMS, PRODUCT
AND QUOTIENT SYSTEMS 43 2.2 LIPSCHITZ, NONEXPANDING AND CONTRACTIVE
SYSTEMS 49 2.3 ONE-POINT COMPACTIFIED SYSTEMS 51 2.4 THE SEMIGROUP
SYSTEM 58 3 INVARIANT SETS 63 3.1 THE HUTCHINSON MAP AND OPERATOR,
INVARIANT SETS 64 3.2 THE MAXIMAL INVARIANT SET 66 3.3 MINIMAL INVARIANT
SETS 71 3.4 INVARIANT SETS AS LIMIT SETS 76 I V 4 FIBRINGS OF SYSTEMS 81
4.1 THE FIBRES OF A SYSTEM 82 4.2 THE COORDINATE MAP 86 4.3 THREE TYPES
OF FIBRINGS 94 4.4 ASYMPTOTICAL STABILITY OF SYSTEMS 107 4.5 THE
SEMIGROUP OF A SYSTEM ILL 4.6 CONJUGATION OF SYSTEMS 122 5 DYNAMICS ON
INVARIANT SETS 127 5.1 THE ADDRESS MAP 128 5.2 THE INVERSE LIFTED SYSTEM
130 5.3 THE SET OF OVERLAP 138 5.4 INVERTIBLE SYSTEMS AND SHIFT MAPS 150
A APPENDIX 173 A.I TOPOLOGICAL SPACES 173 A.2 UNIFORM SPACES 181 A.3
FUNCTION SPACES 184 A.4 COMPACT HAUSDORFF SPACES 186 A.5 METRIC SPACES
188 BIBLIOGRAPHY 191 NOTATION 199 INDEX 207
|
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| ctrlnum | (OCoLC)76432596 (DE-599)BVBBV014864343 |
| discipline | Mathematik |
| format | Thesis Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:08:05Z |
| institution | BVB |
| isbn | 3832207066 |
| language | English |
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| oclc_num | 76432596 |
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| physical | VI, 211 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | Shaker-Verl. |
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| series2 | Berichte aus der Mathematik |
| spelling | Kieninger, Bernd 1970- Verfasser (DE-588)124444423 aut Iterated function systems on compact Hausdorff spaces Bernd Kieninger Aachen Shaker-Verl. 2002 VI, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Augsburg, Univ., Diss., 2002 Hausdorff-Raum (DE-588)4159237-2 gnd rswk-swf Iteriertes Funktionensystem (DE-588)4343626-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Iteriertes Funktionensystem (DE-588)4343626-2 s Hausdorff-Raum (DE-588)4159237-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010050648&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kieninger, Bernd 1970- Iterated function systems on compact Hausdorff spaces Hausdorff-Raum (DE-588)4159237-2 gnd Iteriertes Funktionensystem (DE-588)4343626-2 gnd |
| subject_GND | (DE-588)4159237-2 (DE-588)4343626-2 (DE-588)4113937-9 |
| title | Iterated function systems on compact Hausdorff spaces |
| title_auth | Iterated function systems on compact Hausdorff spaces |
| title_exact_search | Iterated function systems on compact Hausdorff spaces |
| title_full | Iterated function systems on compact Hausdorff spaces Bernd Kieninger |
| title_fullStr | Iterated function systems on compact Hausdorff spaces Bernd Kieninger |
| title_full_unstemmed | Iterated function systems on compact Hausdorff spaces Bernd Kieninger |
| title_short | Iterated function systems on compact Hausdorff spaces |
| title_sort | iterated function systems on compact hausdorff spaces |
| topic | Hausdorff-Raum (DE-588)4159237-2 gnd Iteriertes Funktionensystem (DE-588)4343626-2 gnd |
| topic_facet | Hausdorff-Raum Iteriertes Funktionensystem Hochschulschrift |
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