Topological stability of smooth mappings:
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1976
|
| Series: | Lecture notes in mathematics
552 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 154 Seiten Illustrationen |
| ISBN: | 3540079971 0387079971 |
Staff View
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| 100 | 1 | |a Gibson, Christopher G. |d 1940- |0 (DE-588)108929879X |4 aut | |
| 245 | 1 | 0 | |a Topological stability of smooth mappings |c C. G. Gibson ; K. Wirthmüller ; A. A. du Plessis ; E. J. N. Looijenga |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1976 | |
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Record in the Search Index
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Contents
Introduc tion 1
Chapter I : Construction of Canonical Stratifications
§1 Whitney Stratified Sets 9
§2 Semialgebraic Sets 17
§3 Thorn Stratified Mappings 22
Chapter II : Stratifications and Flows
§1 Tubes 36
§2 Tube Systems 41
§3 Vector Fields 50
§4 Flows 53
§5 Applications 58
Chapter III : Unfoldings of Smooth Map Germs
§0 Introduction 65
§1 Preliminaries, mostly algebraic 73
§2 Infinitesimal Stability 80
§3 Versality 86
§4 Contact equivalence 94
§5 Determinacy 105
§6 Jet spaces and a transversality theorem 111
§7 Genericity 120
Chapter IV : Proof of the Topological Stability Theorem
§1 Multi transversality 125
§2 A stratification of the jet space 131
§3 Properties of the stratification 140
§4 Topological stability as a transversality property 145
References 150
Index 152
Symbols 155 |
| any_adam_object | 1 |
| author | Gibson, Christopher G. 1940- Wirthmüller, K Du Plessis, Andrew 20. Jht Looijenga, Eduard 1948- |
| author_GND | (DE-588)108929879X (DE-588)1089209452 (DE-588)107785434X |
| author_facet | Gibson, Christopher G. 1940- Wirthmüller, K Du Plessis, Andrew 20. Jht Looijenga, Eduard 1948- |
| author_role | aut aut aut aut |
| author_sort | Gibson, Christopher G. 1940- |
| author_variant | c g g cg cgg k w kw p a d pa pad e l el |
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| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV001971895 |
| illustrated | Illustrated |
| indexdate | 2024-09-12T10:02:06Z |
| institution | BVB |
| isbn | 3540079971 0387079971 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001286109 |
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| physical | 154 Seiten Illustrationen |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Gibson, Christopher G. 1940- (DE-588)108929879X aut Topological stability of smooth mappings C. G. Gibson ; K. Wirthmüller ; A. A. du Plessis ; E. J. N. Looijenga Berlin, [u.a.] Springer 1976 154 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 552 Applications différentiables Topologie différentielle Differentiable mappings Stability Topologische Stabilität (DE-588)4670313-5 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Glatte Abbildung (DE-588)4157465-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Topologische Stabilität (DE-588)4670313-5 s Glatte Abbildung (DE-588)4157465-5 s DE-604 Abbildung Mathematik (DE-588)4000044-8 s Wirthmüller, K aut Du Plessis, Andrew 20. Jht. (DE-588)1089209452 aut Looijenga, Eduard 1948- (DE-588)107785434X aut Erscheint auch als Online-Ausgabe 978-3-540-37957-7 Lecture notes in mathematics 552 (DE-604)BV000676446 552 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Topological stability of smooth mappings Lecture notes in mathematics Applications différentiables Topologie différentielle Differentiable mappings Stability Topologische Stabilität (DE-588)4670313-5 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Glatte Abbildung (DE-588)4157465-5 gnd Gibson, Christopher G. 1940- Wirthmüller, K Du Plessis, Andrew 20. Jht Looijenga, Eduard 1948- |
| subject_GND | (DE-588)4670313-5 (DE-588)4000044-8 (DE-588)4157465-5 (DE-588)1071861417 |
| title | Topological stability of smooth mappings |
| title_auth | Topological stability of smooth mappings |
| title_exact_search | Topological stability of smooth mappings |
| title_full | Topological stability of smooth mappings C. G. Gibson ; K. Wirthmüller ; A. A. du Plessis ; E. J. N. Looijenga |
| title_fullStr | Topological stability of smooth mappings C. G. Gibson ; K. Wirthmüller ; A. A. du Plessis ; E. J. N. Looijenga |
| title_full_unstemmed | Topological stability of smooth mappings C. G. Gibson ; K. Wirthmüller ; A. A. du Plessis ; E. J. N. Looijenga |
| title_short | Topological stability of smooth mappings |
| title_sort | topological stability of smooth mappings |
| topic | Applications différentiables Topologie différentielle Differentiable mappings Stability Topologische Stabilität (DE-588)4670313-5 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Glatte Abbildung (DE-588)4157465-5 gnd |
| topic_facet | Applications différentiables Topologie différentielle Differentiable mappings Stability Topologische Stabilität Abbildung Mathematik Glatte Abbildung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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