Homology of locally semialgebraic spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1991
|
| Series: | Lecture notes in mathematics
1484 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 136 S. |
| ISBN: | 3540546154 0387546154 |
Staff View
MARC
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| 245 | 1 | 0 | |a Homology of locally semialgebraic spaces |c Hans Delfs |
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| 300 | |a VIII, 136 S. | ||
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Chapter I: Abstract locally semialgebraic spaces 1
§1 Abstract and geometric spaces 1
§2 Subspaces 6
§3 Some basic notions 8
§4 The closed points 12
§5 Regular and paracompact spaces 14
Chapter II: Sheaf theory on locally semialgebraic spaces 17
§1 Families of supports 18
§2 Induced maps and homotopy 22
§3 Extensions of sections to a neighbourhood 27
§4 Acyclic sheaves . 30
§5 The cohomology of subspaces 38
§6 Extensions of the base field 42
§7 Base change theorems 49
§8 Direct image with proper support 53
§9 Cohomological dimension 56
§10 Hypercohomology 59
Chapter III: Semialgebraic Borel Moore homology 62
§1 Simplical complexes and simplical approximations 62
§2 Semialgebraic Borel Moore homology of paracompact spaces 68
§3 Fundamental classes of manifolds and real varieties 74
§4 Subdivision and the sheaf of simplical chains 79
§5 Semialgebraic Borel Moore homology with arbitrary coefficients and supports 85
§6 Induced maps 89
§7 Homotopy 92
§8 The cap product 97
§9 Poincare duality 101
§10 Extension of the base field 104
§11 Comparison with topological Borel Moore homology 106
§12 Duals of complexes of sheaves and Borel Moore homology 109
Chapter IV: Some intersection theory 115
§1 Fundamental classes of C^ manifolds and locally isoalgebraic spaces 115
§2 Intersection of homology classes 121
§3 Intersection of isoalgebraic cycles 124
List of symbols 130
Index 131
References 134
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| any_adam_object | 1 |
| author | Delfs, Hans 1949- |
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| bvnumber | BV004558385 |
| classification_rvk | SI 850 SK 230 SK 300 |
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| ctrlnum | (OCoLC)320287162 (DE-599)BVBBV004558385 |
| discipline | Mathematik |
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| id | DE-604.BV004558385 |
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| indexdate | 2024-07-09T16:14:17Z |
| institution | BVB |
| isbn | 3540546154 0387546154 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002804562 |
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| physical | VIII, 136 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Delfs, Hans 1949- Verfasser (DE-588)132994895 aut Homology of locally semialgebraic spaces Hans Delfs Berlin [u.a.] Springer 1991 VIII, 136 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1484 Homologie (DE-588)4141951-0 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Semialgebraischer Raum (DE-588)4116475-1 gnd rswk-swf Lokal semialgebraischer Raum (DE-588)4276166-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Semialgebraischer Raum (DE-588)4116475-1 s Homologie (DE-588)4141951-0 s DE-604 Lokal semialgebraischer Raum (DE-588)4276166-9 s Homologietheorie (DE-588)4141714-8 s Lecture notes in mathematics 1484 (DE-604)BV000676446 1484 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804562&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Delfs, Hans 1949- Homology of locally semialgebraic spaces Lecture notes in mathematics Homologie (DE-588)4141951-0 gnd Homologietheorie (DE-588)4141714-8 gnd Semialgebraischer Raum (DE-588)4116475-1 gnd Lokal semialgebraischer Raum (DE-588)4276166-9 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4141714-8 (DE-588)4116475-1 (DE-588)4276166-9 (DE-588)1071861417 |
| title | Homology of locally semialgebraic spaces |
| title_auth | Homology of locally semialgebraic spaces |
| title_exact_search | Homology of locally semialgebraic spaces |
| title_full | Homology of locally semialgebraic spaces Hans Delfs |
| title_fullStr | Homology of locally semialgebraic spaces Hans Delfs |
| title_full_unstemmed | Homology of locally semialgebraic spaces Hans Delfs |
| title_short | Homology of locally semialgebraic spaces |
| title_sort | homology of locally semialgebraic spaces |
| topic | Homologie (DE-588)4141951-0 gnd Homologietheorie (DE-588)4141714-8 gnd Semialgebraischer Raum (DE-588)4116475-1 gnd Lokal semialgebraischer Raum (DE-588)4276166-9 gnd |
| topic_facet | Homologie Homologietheorie Semialgebraischer Raum Lokal semialgebraischer Raum Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804562&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT delfshans homologyoflocallysemialgebraicspaces |