The topology of the calculus of variations in the large:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
1972
|
| Edition: | Repr. |
| Series: | Translations of mathematical monographs
16 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012046172&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | VII, 96 S. Ill. |
| ISBN: | 0821815660 |
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| 245 | 1 | 0 | |a The topology of the calculus of variations in the large |c by L. A. Ljusternik |
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Record in the Search Index
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| adam_text | Table of Contents
Foreword v
Chapter I. General principles of the calculus of
VARIATIONS IN THE LARGE 1
1. Critical values 1
2. Merging of critical values 4
3. Category and other invariants for the finite dimensional case. . . 5
4. Dimensionality of critical sets. Then dimensional case 7
5. Transition to compacta 8
Chapter II. Application to nonlinear integral equations ... 14
6. Homogeneous operators 14
7. Compact parts of projective space P 17
8. Homology in Pand its application 23
9. Odd operators 26
Chapter III. Critical sets of geodesic curves 28
10. Spaces R of curves with common endpoints on the sphere .... 28
11. Critical sets in R 30
12. The space P of closed curves on the sphere 32
13. Critical sets in P 34
14. Homotopy bases 45
Chapter IV. The functional space R of curves with
COMMON ENDPOINTS ON THE SPHERE 49
15. V cycles in R 49
16. A cycles in R 57
17. Index of intersection for V and A cycles in R 60
18. Products of V cycles in R. The product T X Tm 63
19. Application to geodesic arcs 66
20. Some homotopy questions in R 69
21. Cycles with real coefficients 71
22. The n dimensional case 76
iii
iv TABLE OF CONTENTS
Chapter V. Closed geodesics on manifolds homeomorphic
TO THE n DIMENSIONAL SPHERE 79
23. The case n = 2 79
24. The case n 2 82
25. The case n = 2* 89
Bibliography 94
|
| any_adam_object | 1 |
| author | Ljusternik, Lazarʹ A. 1899-1981 |
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| ctrlnum | (OCoLC)256653766 (DE-599)BVBBV019294761 |
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| id | DE-604.BV019294761 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T11:44:21Z |
| institution | BVB |
| isbn | 0821815660 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012046172 |
| oclc_num | 256653766 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | VII, 96 S. Ill. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spellingShingle | Ljusternik, Lazarʹ A. 1899-1981 The topology of the calculus of variations in the large Translations of mathematical monographs Topologie - Variationsrechnung Topologie (DE-588)4060425-1 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4062355-5 |
| title | The topology of the calculus of variations in the large |
| title_alt | Topologija funkcional'nych prostranstv i bariacionnoe isčiclenie v čelom |
| title_auth | The topology of the calculus of variations in the large |
| title_exact_search | The topology of the calculus of variations in the large |
| title_full | The topology of the calculus of variations in the large by L. A. Ljusternik |
| title_fullStr | The topology of the calculus of variations in the large by L. A. Ljusternik |
| title_full_unstemmed | The topology of the calculus of variations in the large by L. A. Ljusternik |
| title_short | The topology of the calculus of variations in the large |
| title_sort | the topology of the calculus of variations in the large |
| topic | Topologie - Variationsrechnung Topologie (DE-588)4060425-1 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Topologie - Variationsrechnung Topologie Variationsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012046172&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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