Topological stability of smooth mappings:
Gespeichert in:
Beteiligte Personen: | , , , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin, [u.a.]
Springer
1976
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Schriftenreihe: | Lecture notes in mathematics
552 |
Schlagwörter: | |
Links: | 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 |
Umfang: | 154 Seiten Illustrationen |
ISBN: | 3540079971 0387079971 |
Internformat
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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 | |
300 | |a 154 Seiten |b Illustrationen | ||
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490 | 1 | |a Lecture notes in mathematics |v 552 | |
650 | 4 | |a Applications différentiables | |
650 | 4 | |a Topologie différentielle | |
650 | 4 | |a Differentiable mappings | |
650 | 4 | |a Stability | |
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700 | 1 | |a Wirthmüller, K |4 aut | |
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700 | 1 | |a Looijenga, Eduard |d 1948- |0 (DE-588)107785434X |4 aut | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-552 |
---|---|
DE-BY-TUM_katkey | 171402 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040020151068 |
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adam_text | 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
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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 |
building | Verbundindex |
bvnumber | BV001971895 |
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)721742413 (DE-599)BVBBV001971895 |
dewey-full | 514/.7 510/.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology 510 - Mathematics |
dewey-raw | 514/.7 510/.8 |
dewey-search | 514/.7 510/.8 |
dewey-sort | 3514 17 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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genre | (DE-588)1071861417 Konferenzschrift gnd-content |
genre_facet | Konferenzschrift |
id | DE-604.BV001971895 |
illustrated | Illustrated |
indexdate | 2024-12-20T07:44:04Z |
institution | BVB |
isbn | 3540079971 0387079971 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001286109 |
oclc_num | 721742413 |
open_access_boolean | |
owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83 |
owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83 |
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 |
spellingShingle | Gibson, Christopher G. 1940- Wirthmüller, K Du Plessis, Andrew 20. Jht Looijenga, Eduard 1948- Topological stability of smooth mappings Lecture notes in mathematics Applications différentiables Topologie différentielle Differentiable mappings Stability Glatte Abbildung (DE-588)4157465-5 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Topologische Stabilität (DE-588)4670313-5 gnd |
subject_GND | (DE-588)4157465-5 (DE-588)4000044-8 (DE-588)4670313-5 (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 Glatte Abbildung (DE-588)4157465-5 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Topologische Stabilität (DE-588)4670313-5 gnd |
topic_facet | Applications différentiables Topologie différentielle Differentiable mappings Stability Glatte Abbildung Abbildung Mathematik Topologische Stabilität 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 |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT gibsonchristopherg topologicalstabilityofsmoothmappings AT wirthmullerk topologicalstabilityofsmoothmappings AT duplessisandrew topologicalstabilityofsmoothmappings AT looijengaeduard topologicalstabilityofsmoothmappings |
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 001z 2001 B 999-552 Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |