Topology of foliations: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathemat. Soc.
1992
|
| Series: | Translations of mathematical monographs
97 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003415330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Aus d. Japan. übers. |
| Physical Description: | XI, 193 S. graph. Darst. |
| ISBN: | 0821845438 0821842005 |
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| 245 | 1 | 0 | |a Topology of foliations |b an introduction |c Itiro Tamura |
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Record in the Search Index
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| adam_text | Contents
Foreword vii
Preface ix
Chapter I. Nonsingular Dynamical Systems on the Torus 1
§1. On the curves denned by a differential equation 1
§2. Vector fields and their trajectories 2
§3. Vector fields and trajectories on the torus 7
§4. Topological properties of trajectories on T 13
§5. Theorem of Denjoy 17
§6. Denjoy s C1 vector field 26
§7. Theorem of Siegel 28
Chapter II. Cr Manifolds and Tangent Spaces 35
§8. Topological spaces 35
§9. Cr manifold 38
§10. Tangent spaces 51
§11. Cr manifolds with boundaries 62
Chapter III. Dynamical Systems and Limit Sets 65
§12. Dynamical systems 65
§ 13. Dynamical systems on S and the Poincare Bendixson
theorem 69
§14. Schweitzer s dynamical system on 5 71
§15. Wilson s dynamical system 77
Chapter IV. Foliations 81
§ 16. Definitions and examples of foliations 81
§17. Cr bundles 89
§ 18. Topological properties of leaves 93
Chapter V. Stability Theorems on Foliations 101
§ 19. Coherent systems of charts 101
§20. Local stability theory 106
§21. Global stability theorem 110
§22. Holonomies 113
V
yi CONTENTS
Chapter VI. The Existence of Compact Leaves 117
§23. Foliations without compact leaves 117
§24. The holonomy lemma 119
§25. Compact leaves of codimension one foliations of S3
(theorem of Novikov) 122
Chapter VII. Foliations and Differential Forms 137
§26. Differential forms 137
§27. Integrals of differential forms 145
§28. Foliations and tangent plane fields 149
Chapter VIII. Cobordisms of Foliations 159
§29. Foliated cobordisms 159
§30. Foliated cobordism invariants (Godbillon Vey numbers) 165
§31. Foliated cobordisms of S3 (theorem of Thurston) 169
Appendices 181
Translator s Afterword 189
Subject Index 191
|
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| discipline | Mathematik |
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| id | DE-604.BV005457883 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:33:53Z |
| institution | BVB |
| isbn | 0821845438 0821842005 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003415330 |
| oclc_num | 243724232 |
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| physical | XI, 193 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Mathemat. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spellingShingle | Tamura, Itiro Topology of foliations an introduction Translations of mathematical monographs Blätterung (DE-588)4007006-2 gnd Differentialtopologie (DE-588)4012255-4 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4007006-2 (DE-588)4012255-4 (DE-588)4060425-1 |
| title | Topology of foliations an introduction |
| title_alt | Yōsō-no-toporoji |
| title_auth | Topology of foliations an introduction |
| title_exact_search | Topology of foliations an introduction |
| title_full | Topology of foliations an introduction Itiro Tamura |
| title_fullStr | Topology of foliations an introduction Itiro Tamura |
| title_full_unstemmed | Topology of foliations an introduction Itiro Tamura |
| title_short | Topology of foliations |
| title_sort | topology of foliations an introduction |
| title_sub | an introduction |
| topic | Blätterung (DE-588)4007006-2 gnd Differentialtopologie (DE-588)4012255-4 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Blätterung Differentialtopologie Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003415330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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