Sheaves in topology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 236 S. |
| ISBN: | 3540206655 9783540206651 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Derived Categories 1
1.1 Categories of Complexes C*(A) 1
1.2 Homotopical Categories K*(A) 9
1.3 The Derived Categories D*(A) 13
1.4 The Derived Functors of Horn 20
2 Derived Categories in Topology 23
2.1 Generalities on Sheaves 23
2.2 Derived Tensor Products 30
2.3 Direct and Inverse Images 32
2.4 The Adjunction Triangle 43
2.5 Local Systems 47
3 Poincare Verdier Duality 59
3.1 Cohomological Dimension of Rings and Spaces 59
3.2 The Functor / 62
3.3 Poincare and Alexander Duality 67
3.4 Vanishing Results 72
4 Constructive Sheaves, Vanishing Cycles and
Characteristic Varieties 81
4.1 Constructible Sheaves 81
4.2 Nearby and Vanishing Cycles 102
4.3 Characteristic Varieties and Characteristic Cycles 111
5 Perverse Sheaves 125
5.1 t Structures and the Definition of Perverse Sheaves 125
5.2 Properties of Perverse Sheaves 133
5.3 P Modules and Perverse Sheaves 143
5.4 Intersection Cohomology 154
XVI Contents
6 Applications to the Geometry of Singular Spaces 165
6.1 Singularities, Milnor Fibers and Monodromy 165
6.2 Topology of Deformations 179
6.3 Topology of Polynomial Functions 193
6.4 Hyperplane and Hypersurface Arrangements 208
References 223
Index 233
|
| any_adam_object | 1 |
| author | Dimca, Alexandru 1953- |
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| dewey-ones | 514 - Topology |
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| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019362156 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:58:31Z |
| institution | BVB |
| isbn | 3540206655 9783540206651 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012825854 |
| oclc_num | 53950673 |
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| physical | XVI, 236 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Dimca, Alexandru 1953- Verfasser (DE-588)1241582173 aut Sheaves in topology Alexandru Dimca Berlin [u.a.] Springer 2004 XVI, 236 S. txt rdacontent n rdamedia nc rdacarrier Universitext Faisceaux, Théorie des Sheaf theory Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s Garbe Mathematik (DE-588)4019261-1 s DE-604 Kohomologietheorie (DE-588)4164610-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012825854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dimca, Alexandru 1953- Sheaves in topology Faisceaux, Théorie des Sheaf theory Kohomologietheorie (DE-588)4164610-1 gnd Garbe Mathematik (DE-588)4019261-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4164610-1 (DE-588)4019261-1 (DE-588)4120861-4 |
| title | Sheaves in topology |
| title_auth | Sheaves in topology |
| title_exact_search | Sheaves in topology |
| title_full | Sheaves in topology Alexandru Dimca |
| title_fullStr | Sheaves in topology Alexandru Dimca |
| title_full_unstemmed | Sheaves in topology Alexandru Dimca |
| title_short | Sheaves in topology |
| title_sort | sheaves in topology |
| topic | Faisceaux, Théorie des Sheaf theory Kohomologietheorie (DE-588)4164610-1 gnd Garbe Mathematik (DE-588)4019261-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Faisceaux, Théorie des Sheaf theory Kohomologietheorie Garbe Mathematik Algebraische Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012825854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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