Embeddings and immersions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathemat. Soc.
1993
|
| Schriftenreihe: | Translations of mathematical monographs
124 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus. d. Japan. übers. |
| Beschreibung: | X, 183 S. graph. Darst. |
| ISBN: | 0821846124 |
Internformat
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| 245 | 1 | 0 | |a Embeddings and immersions |c Masahisa Adachi |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface to the English Edition vii
Preface ix
Chapter 0. Regular Closed Curves in the Plane 1
§ 1. Regular closed curves 1
§2. Regular homotopies 4
Chapter I. Cr Manifolds, Cr Maps, and Fiber Bundles 7
§1. C°° manifolds and C°° maps 7
§2. Fiber bundles 15
§3. Jet bundles 32
§4. Morse functions 37
§5. The transversality theorem of Thom 42
Chapter II. Embeddings of C°° Manifolds 45
§1. Embeddings and isotopies 45
§2. Two approximation theorems 47
§3. An immersion theorem 49
§4. Whitney s embedding theorem I: M c R2 +1 53
§5. The theorem of Sard 57
§6. Whitney s theorem on completely regular immersions 60
§7. Special self intersections 62
§8. The intersection number of a completely regular immersion 65
§9. Whitney s embedding theorem II: M c R2n 66
Chapter III. Immersions of C°° Manifolds 75
§1. Immersions and regular homotopies 75
§2. Spaces of maps: The approximation theorem 76
§3. Characteristic classes 79
§4. Immersions and characteristic classes 85
§5. The Smale Hirsch theorem and its applications 86
§6. Cr triangulations of a C manifold 89
§7. Gromov s theorem 91
§8. Submersions: The Phillips theorem 92
V
vi CONTENTS
§9. Proof of the Smale Hirsch theorem 93
§10. The Gromov Phillips theorem 94
§11. Handlebody decompositions of C°° manifolds 95
§ 12. The proof of Gromov s theorem 97
§ 13. Further applications of Gromov s theorem 108
Chapter IV. The Gromov Convex Integration Theory 111
§ 1. Fundamental theorem 111
§2. Proofs of the Smale Hirsch theorem and Feit s theorem 114
§3. Convex hulls in Banach spaces 116
§4. Proof of the fundamental theorem 123
Chapter V. Foliations of Open Manifolds 127
§ 1. Topological groupoids 127
§2. F structures 128
§3. Vector bundles associated with restructures 128
§4. Homotopies of F structures 129
§5. The construction of the classifying space for F structures 129
§6. Numerable F structures 131
§7. F foliations 134
§8. The graphs of F structures 135
§9. The Gromov Phillips transversality theorem 136
§10. The classification theorem for F foliations of open manifolds 137
Chapter VI. Complex Structures on Open Manifolds 141
§1. Almost complex structures and complex structures 141
§2. Complex structures on open manifolds 142
§3. Holomorphic foliations of complexifications of real analytic
manifolds 146
§4. The C transversality theorem 150
§5. Notes 155
Chapter VII. Embeddings of C°° Manifolds (continued) 157
§1. Embeddings in Euclidean spaces 157
§2. Embeddings in manifolds 160
§3. The proof of Theorem 7.2 163
§4. The proof of Theorem 7.3 167
Afterword 177
References 179
Subject Index 181
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| id | DE-604.BV008203504 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:16:15Z |
| institution | BVB |
| isbn | 0821846124 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005413121 |
| oclc_num | 246829158 |
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| physical | X, 183 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Mathemat. Soc. |
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| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Adachi, Masahisa Verfasser aut Umekomi-to-hamekomi Embeddings and immersions Masahisa Adachi Providence, RI American Mathemat. Soc. 1993 X, 183 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 124 Aus. d. Japan. übers. Einbettung Mathematik (DE-588)4151233-9 gnd rswk-swf Immersion Topologie (DE-588)4161350-8 gnd rswk-swf Einbettung Mathematik (DE-588)4151233-9 s Immersion Topologie (DE-588)4161350-8 s DE-604 Translations of mathematical monographs 124 (DE-604)BV000002394 124 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005413121&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adachi, Masahisa Embeddings and immersions Translations of mathematical monographs Einbettung Mathematik (DE-588)4151233-9 gnd Immersion Topologie (DE-588)4161350-8 gnd |
| subject_GND | (DE-588)4151233-9 (DE-588)4161350-8 |
| title | Embeddings and immersions |
| title_alt | Umekomi-to-hamekomi |
| title_auth | Embeddings and immersions |
| title_exact_search | Embeddings and immersions |
| title_full | Embeddings and immersions Masahisa Adachi |
| title_fullStr | Embeddings and immersions Masahisa Adachi |
| title_full_unstemmed | Embeddings and immersions Masahisa Adachi |
| title_short | Embeddings and immersions |
| title_sort | embeddings and immersions |
| topic | Einbettung Mathematik (DE-588)4151233-9 gnd Immersion Topologie (DE-588)4161350-8 gnd |
| topic_facet | Einbettung Mathematik Immersion Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005413121&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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