Convex integration theory: solutions to the h-principle in geometry and topology
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
1998
|
| Series: | Monographs in mathematics
92 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | VIII, 212 S. |
| ISBN: | 376435805X 9783034800594 081765805X |
Staff View
MARC
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| 100 | 1 | |a Spring, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Convex integration theory |b solutions to the h-principle in geometry and topology |c David Spring |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1998 | |
| 300 | |a VIII, 212 S. | ||
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| 490 | 1 | |a Monographs in mathematics |v 92 | |
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Record in the Search Index
| _version_ | 1804126178751021056 |
|---|---|
| adam_text | CONTENTS
1
Introduction
.......................................................... 1
§1
Historical Remarks
................................................ 1
§2
Background Material
.............................................. 4
§3
/¿-Principles
....................................................... 10
§4
The Approximation Problem
...................................... 16
2
Convex Hulk
......................................................... 19
§1
Contractible Spaces of Surrounding Loops
......................... 19
§2
C-Structures for Relations in
Affine
Bundles
....................... 22
§3
The Integral Representation Theorem
.............................. 28
3
Analytic Theory
...................................................... 33
§1
The One-Dimensional Theorem
.................................... 33
§2
The C1 -Approximation Theorem
.................................. 45
4
Open Ample Relations in Spaces of 1-Jets
............................ 49
§1
C°-Dense /i-Principle
.............................................. 50
§2
Examples
......................................................... 62
5
Microfibrations
....................................................... 71
§1
Introduction
...................................................... 71
§2
С
-Structures for Relations over
Affine
Bundles
..................... 78
§3
The (^-Approximation Theorem
.................................. 83
6
The Geometry of Jet spaces
.......................................... 87
§1
The Manifold
XŁ
................................................. 87
§2
Principal Decompositions in Jet Spaces
............................ 91
viii CONTENTS
7
Convex
Hull Extensions
.............................................. 101
§1
The Microfibration Property
....................................... 101
§2
The /i-Stability Theorem
.......................................... 104
8
Ample Relations
...................................................... 121
§1
Short Sections
..................................................... 121
§2
/i-Principle for Ample Relations
................................... 132
§3
Examples
......................................................... 145
§4
Relative /i-Principles
.............................................. 152
9
Systems of Partial Differential Equations
.............................. 165
§1
Underdetermined Systems
......................................... 165
§2
Triangular Systems
................................................ 178
§3
C1-Isometric Immersions
.......................................... 194
10
Relaxation Theorem
................................................. 201
§1
Filippov s Relaxation Theorem
.................................... 201
§2
(^-Relaxation Theorem
........................................... 204
References
............................................................. 207
Index
.................................................................. 211
Index of Notation
...................................................... 213
|
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 |
| dewey-search | 514/.72 |
| dewey-sort | 3514 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV011645094 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:13:20Z |
| institution | BVB |
| isbn | 376435805X 9783034800594 081765805X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007848747 |
| oclc_num | 38048134 |
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| owner | DE-91G DE-BY-TUM DE-384 DE-20 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-634 DE-11 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-20 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-634 DE-11 DE-83 |
| physical | VIII, 212 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Monographs in mathematics |
| series2 | Monographs in mathematics |
| spelling | Spring, David Verfasser aut Convex integration theory solutions to the h-principle in geometry and topology David Spring Basel [u.a.] Birkhäuser 1998 VIII, 212 S. txt rdacontent n rdamedia nc rdacarrier Monographs in mathematics 92 Hier auch später erschienene, unveränderte Nachdrucke Topologie différentielle ram Differential topology Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s DE-604 Monographs in mathematics 92 (DE-604)BV000008284 92 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848747&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Spring, David Convex integration theory solutions to the h-principle in geometry and topology Monographs in mathematics Topologie différentielle ram Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4012255-4 |
| title | Convex integration theory solutions to the h-principle in geometry and topology |
| title_auth | Convex integration theory solutions to the h-principle in geometry and topology |
| title_exact_search | Convex integration theory solutions to the h-principle in geometry and topology |
| title_full | Convex integration theory solutions to the h-principle in geometry and topology David Spring |
| title_fullStr | Convex integration theory solutions to the h-principle in geometry and topology David Spring |
| title_full_unstemmed | Convex integration theory solutions to the h-principle in geometry and topology David Spring |
| title_short | Convex integration theory |
| title_sort | convex integration theory solutions to the h principle in geometry and topology |
| title_sub | solutions to the h-principle in geometry and topology |
| topic | Topologie différentielle ram Differential topology Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Topologie différentielle Differential topology Differentialtopologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848747&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008284 |
| work_keys_str_mv | AT springdavid convexintegrationtheorysolutionstothehprincipleingeometryandtopology |