Proximity approach to problems in topology and analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Oldenbourg
2009
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 204 S. graph. Darst. 240 mm x 170 mm |
| ISBN: | 9783486589177 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS PREFACE V FOREWORD VII INTUITIVE INTRODUCTION 1 1 THE LODATO
PROXIMITY 3 1.1 INTRODUCTION 4 1.2 TOOLS: CLUSTERS AND BUNCHES 13 1.3 A
GENERAL TI COMPACTIFICATION 16 1.4 MOZZOCHI UNIFORMITY AND LO-PROXIMITY
21 2 THE EFREMOVIC PROXIMITY 25 2.1 INTRODUCTION 25 2.2 TOOLS: CLUSTERS
29 2.3 SMIRNOV COMPACTIFICATION 31 2.4 TYCHONOFF TOPOLOGY, EFREMOVIC
PROXIMITY AND UNIFORMITY 33 2.5 APPENDIX: APPLICATION OF WALLMAN-FRINK
COMPACTIFICATION 36 3 EXTENSIONSOF CONTINUOUSFUNCTIONSFROM
DENSESUBSPACES 39 3.1 GENERALIZED TAIMANOV THEOREM 39 3.2 HAUSDORFF
COMPACTIFICATIONS 42 3.3 APPLICATIONS OF THE GENERALIZED TAIMANOV
THEOREM 43 3.4 MORE APPLICATIONS 46 4 NEARNESS AND CONTIGUITY. EXTENSION
THEOREMS 49 4.1 INTRODUCTION 50 4.2 EXTENSION THEOREMS 53 4.3
TOPOLOGICAL PROPERTIES IN TERMS OF NEARNESS 56 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/991722744 DIGITALISIERT DURCH 8.5
FELL-CONTIMIOUS-CONVERGENCE 110 XU CONTENTS 4.4 CATEGORICAL POINT OFVIEW
58 5 HYPERSPACE TOPOLOGIES 61 5.1 WHAT IS A HIT-AND-MISS TOPOLOGY? AN
INTUITIVE INTRODUCTION 61 5.2 VIETORIS PROXIMAL AND FELL TOPOLOGIES 64
5.3 HAUSDORFF METRIC TOPOLOGY 67 5.4 WIJSMAN CONVERGENCE TOPOLOGY 70 5.5
LOCALLY FINITE TOPOLOGY 73 5.6 BALL AND PROXIMAL BALL TOPOLOGIES 75 5.7
POPPE S DELTA TOPOLOGIES 78 5.8 HAUSDORFF-BOURBAKI UNIFORMITY 79 5.9
UNIFORMLY DISCRETE HYPERTOPOLOGY 83 5.10 U TOPOLOGY 85 5.11 BOUNDED
TOPOLOGIES 85 6 HIT-AND-FAR-MISS TOPOLOGY: A GENERALIZATION OFTHE
WIJSMAN TOPOLOGY 87 6.1 INTRODUCTION 87 6.2 COMPARISONS AMONG THE THREE
TOPOLOGIES 88 6.3 COMPARISONS WITH OTHER TOPOLOGIES 91 6.4 APPENDIX I:
RELATIVE TOTAL BOUNDEDNESS 92 6.5 APPENDIX UE: BOMBAY TOPOLOGY, A
UNIFICATION 93 7 INTIM UM AND SUPREMUM OF HYPERTOPOLOGIES 97 7.1 INF OF
HAUSDORFF-BOURBAKI UNIFORMITIES 97 7.2 SUPOF HAUSDORFF-BOURBAKI
UNIFORMITIES 99 7.3 SUP OF WIJSMAN TOPOLOGIES 100 8 HYPER-CONTINOOUS
CONVERGENCE IN FUNCTION SPACES 103 8.1 INTRODUCTION 103 8.2
HAUSDORFF-CONTINUOUS CONVERGENCE 105 8.3 VIETORIS CONVERGENCE 108 8.4
PROXIMAL-CONTINUOUS-CONVERGENCE 109 REFERENCES 176 CONTENTS XHI 9
PROXIMAL SET-OPEN TOPOLOGY 113 9.1 INTRODUCTION 113 9.2 COMPARISON OF
PROXIMAL SET-OPEN TOPOLOGY WITH OTHER TOPOLOGIES 118 9.3 SEPARATION
AXIOMS 118 10 A UNIFIED APPROACH TO METRISATION PROBLEMS 121 11
SEMI-METRIC AND DEVELOPABLE SPACES 125 11.1 INTRODUCTION 125 11.2
DEVELOPABLE SPACES 127 11.3 METRISABLE SPACES 129 11.4 MAPPINGS 130 12
OPEN AND UNIFORM LY OPEN RELATIONS 133 13 DUALITY IN FUNCTION SPACES 139
13.1 INTRODUCTION 139 13.2 EQUICONTINUITY 143 13.3 EVEN CONTINUITY 144
13.4 TOPOLOGICAL GROUPS OF HOMEOMORPHISMS 147 13.5 GENERALIZATIONS OF
EQUICONTINUITY 151 13.6 APPLICATION 153 14 PROXIMAL AND OTHER
CHARACTERIZATIONS OF UNIFORM INVARIANTS 155 14.1 COMPLETENESS 155 14.2
TOTAL BOUNDEDNESS 157 14.3 UC SPACES 158 14.4 CU SPACES 160 14.5
COMPACTNESS 160 15 APPLICATIONS 163 15.1 GENERAL RELATIVITY 163
REFERENCES 166 15.2 DIFFERENTIAL EQUATIONS AND MATHEMATICAL ECONOMICS
167 REFERENCES 170 15.3 DIGITAL IMAGES AND SOUND ANALYSIS & SYNTHESIS
171 INDEX 201 XTV CONTENTS BIBLIOGRAPHY 177 REFERENCES FOR
QUASI-PROXIMITIES 192 BASIC FACTS 192 CARDINALITY OF COMPATIBLE
QUASI-PROXIMITIES AND OF A QUASI-PROXIMITY CLASS 194 COMPLETIONS AND
COMPACTIFICATIONS 196 HYPERTOPOLOGIES AND FUNCTIONS SPACES 198 FUZZY
TOPOLOGY 199
|
| any_adam_object | 1 |
| author | Naimpally, Somashekhar 1931-2014 |
| author_GND | (DE-588)137733763 |
| author_facet | Naimpally, Somashekhar 1931-2014 |
| author_role | aut |
| author_sort | Naimpally, Somashekhar 1931-2014 |
| author_variant | s n sn |
| building | Verbundindex |
| bvnumber | BV035403522 |
| classification_rvk | SK 280 SK 600 |
| ctrlnum | (OCoLC)318642307 (DE-599)DNB991722744 |
| dewey-full | 514.32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.32 |
| dewey-search | 514.32 |
| dewey-sort | 3514.32 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T21:34:27Z |
| institution | BVB |
| isbn | 9783486589177 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017324128 |
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| physical | XIV, 204 S. graph. Darst. 240 mm x 170 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Oldenbourg |
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| spelling | Naimpally, Somashekhar 1931-2014 Verfasser (DE-588)137733763 aut Proximity approach to problems in topology and analysis von Somashekhar Naimpally München Oldenbourg 2009 XIV, 204 S. graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Proximity-Raum - Aufsatzsammlung Proximity-Raum (DE-588)7654546-5 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Proximity-Raum (DE-588)7654546-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017324128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Naimpally, Somashekhar 1931-2014 Proximity approach to problems in topology and analysis Proximity-Raum - Aufsatzsammlung Proximity-Raum (DE-588)7654546-5 gnd |
| subject_GND | (DE-588)7654546-5 (DE-588)4143413-4 |
| title | Proximity approach to problems in topology and analysis |
| title_auth | Proximity approach to problems in topology and analysis |
| title_exact_search | Proximity approach to problems in topology and analysis |
| title_full | Proximity approach to problems in topology and analysis von Somashekhar Naimpally |
| title_fullStr | Proximity approach to problems in topology and analysis von Somashekhar Naimpally |
| title_full_unstemmed | Proximity approach to problems in topology and analysis von Somashekhar Naimpally |
| title_short | Proximity approach to problems in topology and analysis |
| title_sort | proximity approach to problems in topology and analysis |
| topic | Proximity-Raum - Aufsatzsammlung Proximity-Raum (DE-588)7654546-5 gnd |
| topic_facet | Proximity-Raum - Aufsatzsammlung Proximity-Raum Aufsatzsammlung |
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