Homology of analytic sheaves and duality theorems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York u.a.
Consultants Bureau
1989
|
| Series: | Contemporary Soviet mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VIII, 210 S. |
| ISBN: | 0306110245 |
Staff View
MARC
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| 245 | 1 | 0 | |a Homology of analytic sheaves and duality theorems |c V. D. Golovin |
| 264 | 1 | |a New York u.a. |b Consultants Bureau |c 1989 | |
| 300 | |a VIII, 210 S. | ||
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| 490 | 0 | |a Contemporary Soviet mathematics | |
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| 650 | 4 | |a Duality theory (Mathematics) | |
| 650 | 4 | |a Homology theory | |
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Record in the Search Index
| _version_ | 1804116906094886912 |
|---|---|
| adam_text | CONTENTS
Chapter 1. ANALYTIC SHEAVES 1
1. Preliminary Information 1
2. Injectivity Test 16
3. LocalDuality 24
4. Injective and Global Dimension 36
5. Properties of Fine Sheaves 46
Chapter 2. HOMOLOGY THEORY 63
1. Sheaves of Germs of Homology 63
2. Homology Groups 70
3. Connection with the Functors Ext 76
4. Poincare Duality 80
5. Dualizing Complexes 83
Chapter 3. DUALITY THEOREMS 87
1. Homology of Coverings 87
2. Cohomology with Arbitrary Supports 91
3. Cohomology with Compact Supports 94
4. Holomorphically Complete Spaces 98
5. Leray Spectral Sequence 103
Chapter4. LOCAL HOMOLOGY 109
1. Homology of a Closed Set 109
2. Local Homology Ill
3. Duality Theorems 114
vii
viii CONTENTS
4. Inductive and Projective Limits 127
5. Tests for Separatedness 135
Chapter5. APPLICATIONS 143
1. Dimension of Support 143
2. Homological Codimension 147
3. The Results of Andreotti Grauert 149
4. Lefschetz Theorem 151
5. Theory of Hyperfunctions 154
NOTES 165
REFERENCES 199
|
| any_adam_object | 1 |
| author | Golovin, Viktor D. |
| author_facet | Golovin, Viktor D. |
| author_role | aut |
| author_sort | Golovin, Viktor D. |
| author_variant | v d g vd vdg |
| building | Verbundindex |
| bvnumber | BV002499734 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.36 |
| callnumber-search | QA612.36 |
| callnumber-sort | QA 3612.36 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 320 |
| ctrlnum | (OCoLC)19125654 (DE-599)BVBBV002499734 |
| dewey-full | 514/.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.224 |
| dewey-search | 514/.224 |
| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002499734 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:45:57Z |
| institution | BVB |
| isbn | 0306110245 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001610282 |
| oclc_num | 19125654 |
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| owner_facet | DE-12 DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 |
| physical | VIII, 210 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Consultants Bureau |
| record_format | marc |
| series2 | Contemporary Soviet mathematics |
| spelling | Golovin, Viktor D. Verfasser aut Gomologii analitičeskich pučkov i teoremy dvojstvennosti Homology of analytic sheaves and duality theorems V. D. Golovin New York u.a. Consultants Bureau 1989 VIII, 210 S. txt rdacontent n rdamedia nc rdacarrier Contemporary Soviet mathematics Aus d. Russ. übers. Homologie ram Analytic sheaves Duality theory (Mathematics) Homology theory Dualität (DE-588)4013161-0 gnd rswk-swf Garbentheorie (DE-588)4155956-3 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf Analytische Garbe (DE-588)4142349-5 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf Analytische Garbe (DE-588)4142349-5 s Homologie (DE-588)4141951-0 s Dualitätstheorie (DE-588)4150801-4 s DE-604 Garbentheorie (DE-588)4155956-3 s Homologietheorie (DE-588)4141714-8 s Dualität (DE-588)4013161-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001610282&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Golovin, Viktor D. Homology of analytic sheaves and duality theorems Homologie ram Analytic sheaves Duality theory (Mathematics) Homology theory Dualität (DE-588)4013161-0 gnd Garbentheorie (DE-588)4155956-3 gnd Homologie (DE-588)4141951-0 gnd Analytische Garbe (DE-588)4142349-5 gnd Homologietheorie (DE-588)4141714-8 gnd Dualitätstheorie (DE-588)4150801-4 gnd |
| subject_GND | (DE-588)4013161-0 (DE-588)4155956-3 (DE-588)4141951-0 (DE-588)4142349-5 (DE-588)4141714-8 (DE-588)4150801-4 |
| title | Homology of analytic sheaves and duality theorems |
| title_alt | Gomologii analitičeskich pučkov i teoremy dvojstvennosti |
| title_auth | Homology of analytic sheaves and duality theorems |
| title_exact_search | Homology of analytic sheaves and duality theorems |
| title_full | Homology of analytic sheaves and duality theorems V. D. Golovin |
| title_fullStr | Homology of analytic sheaves and duality theorems V. D. Golovin |
| title_full_unstemmed | Homology of analytic sheaves and duality theorems V. D. Golovin |
| title_short | Homology of analytic sheaves and duality theorems |
| title_sort | homology of analytic sheaves and duality theorems |
| topic | Homologie ram Analytic sheaves Duality theory (Mathematics) Homology theory Dualität (DE-588)4013161-0 gnd Garbentheorie (DE-588)4155956-3 gnd Homologie (DE-588)4141951-0 gnd Analytische Garbe (DE-588)4142349-5 gnd Homologietheorie (DE-588)4141714-8 gnd Dualitätstheorie (DE-588)4150801-4 gnd |
| topic_facet | Homologie Analytic sheaves Duality theory (Mathematics) Homology theory Dualität Garbentheorie Analytische Garbe Homologietheorie Dualitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001610282&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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