The metric theory of Banach manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
1978
|
| Schriftenreihe: | Lecture notes in mathematics
662 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 306 Seiten |
| ISBN: | 3540089152 0387089152 |
Internformat
MARC
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| 245 | 1 | 0 | |a The metric theory of Banach manifolds |c Ethan Akin |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1978 | |
| 300 | |a XIX, 306 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 662 | |
| 650 | 4 | |a Applications (Mathématiques) | |
| 650 | 4 | |a Géométrie différentielle | |
| 650 | 4 | |a Variétés différentiables | |
| 650 | 4 | |a Banach manifolds | |
| 650 | 4 | |a Differentiable manifolds | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Mappings (Mathematics) | |
| 650 | 0 | 7 | |a Banach-Mannigfaltigkeit |0 (DE-588)4143973-9 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Lecture notes in mathematics |v 662 |w (DE-604)BV000676446 |9 662 | |
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Datensatz im Suchindex
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| adam_text |
TABLE OF CONTENTS
Introduction v
Chapter I: Atlases
Sec. 1. Banach Spaces and Jets 1
Sec. 2. Atlas Constructions 5
Chapter II; Function Spaces
Sec. 1. Elementary Properties 14
Sec. 2. Composition Results 29
Sec. 3. Local Horaeomorphisms and Differential Equations 37
Chapter III; Metric Structures
Sec. 1. JDt Atlases and Haps 44
Sec. 2. Metrics 49
Sec. 3. Finslers 55
Sec. 4. Metrics and Bounds 61
Sec. 5. Metric Structures 64
Sec. 6. Regular pseudometric spaces 77
Sec. 7. Semicompleteness 86
Sec. 8. Exponential Maps 100
Chapter IV; Manifolds of Mappings
Sec. 1. Section Spaces 107
Sec. 2. Composition Results 114
Sec. 3. Manifolds of Mappings 120
Sec. 4. Linear Map Bundles 134
Sec. 5. Tangent Bundle Identifications 142
Sec. 6. Composition and Evaluation Results 146
Chapter V; Uniform and Holder Continuity
Sec. 1. Accessory Pseudometric Structures 154
Sec. 2. Admissible APM's on Semicomplete Spaces 162
Sec. 3. Section Spaces 170
Sec. 4. s Mappings 172
Chapter VI; Immersions and Submersions
Sec. 1. Linear Injections and Surjections 174
Sec. 2. VB Injections and Surjections 182
Sec. 3. Immersions and Embeddings 190
Sec. 4. Submersions 203
Sec. 5. Local Isomorphisms 207
Sec. 6. Transversality 211
Chapter VII; Grassmannians and Leaf Immersions
Sec. 1. Grassmannian of a B-Space 227
Sec. 2. Grassmannian of a Bundle 239
Sec. 3. Smoothing Immersions 243
Sec. 4. Leaf Immersions 248
VI
Chapter VIII; Finite Dimensional Manifolds
Sec. 1. Manifolds of Finite Type 267
Sec. 2. Approximation and Smoothing 279
Sec. 3. c and j Finslers 291
Sec. 4. Semicompact Structures 294
Sec. 5. Compact Sets and Compact Manifolds 298
Bibliography 301
Index 303 |
| any_adam_object | 1 |
| author | Akin, Ethan 1946- |
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| author_facet | Akin, Ethan 1946- |
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| author_sort | Akin, Ethan 1946- |
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| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)4135515 (DE-599)BVBBV002253024 |
| dewey-full | 516/.36 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516/.36 510/.8 |
| dewey-search | 516/.36 510/.8 |
| dewey-sort | 3516 236 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Metrische Theorie gnd |
| genre_facet | Metrische Theorie |
| id | DE-604.BV002253024 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-18T10:00:47Z |
| institution | BVB |
| isbn | 3540089152 0387089152 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001480481 |
| oclc_num | 4135515 |
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| physical | XIX, 306 Seiten |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Akin, Ethan 1946- (DE-588)109074149 aut The metric theory of Banach manifolds Ethan Akin Berlin, [u.a.] Springer 1978 XIX, 306 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 662 Applications (Mathématiques) Géométrie différentielle Variétés différentiables Banach manifolds Differentiable manifolds Geometry, Differential Mappings (Mathematics) Banach-Mannigfaltigkeit (DE-588)4143973-9 gnd rswk-swf Banach-Mannigfaltigkeit (DE-588)4143973-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-35761-2 Lecture notes in mathematics 662 (DE-604)BV000676446 662 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Akin, Ethan 1946- The metric theory of Banach manifolds Lecture notes in mathematics Applications (Mathématiques) Géométrie différentielle Variétés différentiables Banach manifolds Differentiable manifolds Geometry, Differential Mappings (Mathematics) Banach-Mannigfaltigkeit (DE-588)4143973-9 gnd |
| subject_GND | (DE-588)4143973-9 |
| title | The metric theory of Banach manifolds |
| title_auth | The metric theory of Banach manifolds |
| title_exact_search | The metric theory of Banach manifolds |
| title_full | The metric theory of Banach manifolds Ethan Akin |
| title_fullStr | The metric theory of Banach manifolds Ethan Akin |
| title_full_unstemmed | The metric theory of Banach manifolds Ethan Akin |
| title_short | The metric theory of Banach manifolds |
| title_sort | the metric theory of banach manifolds |
| topic | Applications (Mathématiques) Géométrie différentielle Variétés différentiables Banach manifolds Differentiable manifolds Geometry, Differential Mappings (Mathematics) Banach-Mannigfaltigkeit (DE-588)4143973-9 gnd |
| topic_facet | Applications (Mathématiques) Géométrie différentielle Variétés différentiables Banach manifolds Differentiable manifolds Geometry, Differential Mappings (Mathematics) Banach-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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