Sheaf theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Graduate texts in mathematics
170 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 487 - 490 |
| Beschreibung: | XI, 502 S. graph. Darst. |
| ISBN: | 0387949054 9781461268543 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804125807540436992 |
|---|---|
| adam_text | GLEN E. BREDON SHEAF THEORY SECOND EDITION SPRINGER CONTENTS PREFACE V I
SHEAVES AND PRESHEAVES 1 1 DEFINITIONS 1 2 HOMOMORPHISMS, SUBSHEAVES,
AND QUOTIENT SHEAVES . . . . 8 3 DIRECT AND INVERSE IMAGES 12 4
COHOMOMORPHISMS 14 5 ALGEBRAIC CONSTRUCTIONS 16 6 SUPPORTS 21 7
CLASSICAL COHOMOLOGY THEORIES 24 EXERCISES 30 II SHEAF COHOMOLOGY 33 1
DIFFERENTIAL SHEAVES AND RESOLUTIONS 34 2 THE CANONICAL RESOLUTION AND
SHEAF COHOMOLOGY 36 3 INJECTIVE SHEAVES 41 4 ACYCLIC SHEAVES 46 5 FLABBY
SHEAVES . 47 6 CONNECTED SEQUENCES OF FUNCTORS 52 7 AXIOMS FOR
COHOMOLOGY AND THE CUP PRODUCT 56 8 MAPS OF SPACES * * * 61 9 $-SOFT AND
$-FINE SHEAVES 65 10 SUBSPACES . . . . . . . . . . . . . . . . . . . . .
71 11 THE VIETORIS MAPPING THEOREM AND HOMOTOPY INVARIANCE . 75 12
RELATIVE COHOMOLOGY 83 13 MAYER-VIETORIS THEOREMS 94 14 CONTINUITY 100
15 THE KIINNETH AND UNIVERSAL COEFFICIENT THEOREMS 107 16 DIMENSION 110
17 LOCAL CONNECTIVITY . 126 18 CHANGE OF SUPPORTS; LOCAL COHOMOLOGY
GROUPS 134 19 THE TRANSFER HOMOMORPHISM AND THE SMITH SEQUENCES ... 137
20 STEENROD S CYCLIC REDUCED POWERS 148 21 THE STEENROD OPERATIONS 162
EXERCISES 169 IX X CONTENTS III COMPARISON WITH OTHER COHOMOLOGY
THEORIES 179 1 SINGULAR COHOMOLOGY 179 2 ALEXANDER-SPANIER COHOMOLOGY
185 3 DE RHAM COHOMOLOGY . . . . . . . .~ 187 4 CECH COHOMOLOGY 189
EXERCISES 194 IV APPLICATIONS OF SPECTRAL SEQUENCES 197 1 THE SPECTRAL
SEQUENCE OF A DIFFERENTIAL SHEAF 198 2 THE FUNDAMENTAL THEOREMS OF
SHEAVES 202 3 DIRECT IMAGE RELATIVE TO A SUPPORT FAMILY 210 4 THE LERAY
SHEAF 213 5 EXTENSION OF A SUPPORT FAMILY BY A FAMILY ON THE BASE SPACE
219 6 THE LERAY SPECTRAL SEQUENCE OF A MAP 221 7 FIBER BUNDLES 227 8
DIMENSION 237 9 THE SPECTRAL SEQUENCES OF BOREL AND CARTAN 246 10
CHARACTERISTIC CLASSES 251 11 THE SPECTRAL SEQUENCE OF A FILTERED
DIFFERENTIAL SHEAF 257 12 THE FARY SPECTRAL SEQUENCE 262 13 SPHERE
BUNDLES WITH SINGULARITIES . . . . . . . . . . . . . . . 264 14 THE
OLIVER TRANSFER AND THE CONNER CONJECTURE 267 EXERCISES 275 V
BOREL-MOORE HOMOLOGY 279 1 COSHEAVES 281 2 THE DUAL OF A DIFFERENTIAL
COSHEAF 289 3 HOMOLOGY THEORY 292 4 MAPS OF SPACES 299 5 SUBSPACES AND
RELATIVE HOMOLOGY 303 6 THE VIETORIS THEOREM, HOMOTOPY, AND COVERING
SPACES . . . 317 7 THE HOMOLOGY SHEAF OF A MAP 322 8 THE BASIC SPECTRAL
SEQUENCES 324 9 POINCARE DUALITY 329 10 THE CAP PRODUCT 335 11
INTERSECTION THEORY 344 12 UNIQUENESS THEOREMS 349 13 UNIQUENESS
THEOREMS FOR MAPS AND RELATIVE HOMOLOGY . . . . 358 14 THE KUNNETH
FORMULA 364 15 CHANGE OF RINGS 368 16 GENERALIZED MANIFOLDS 373 17
LOCALLY HOMOGENEOUS SPACES 392 18 HOMOLOGICAL FIBRATIONS AND P-ADIC
TRANSFORMATION GROUPS . . 394 19 THE TRANSFER HOMOMORPHISM IN HOMOLOGY
403 20 SMITH THEORY IN HOMOLOGY 407 EXERCISES 411 CONTENTS XI VI
COSHEAVES AND CECH HOMOLOGY 417 1 THEORY OF COSHEAVES 418 2 LOCAL
TRIVIALITY . . . . . . . . . . . . . . . . . . . . . . . . . 420 3 LOCAL
ISOMORPHISMS 421 4 CECH HOMOLOGY 424 5 THE REFLECTOR 428 6 SPECTRAL
SEQUENCES 431 7 CORESOLUTIONS 432 8 RELATIVE CECH HOMOLOGY 434 9 LOCALLY
PARACOMPACT SPACES . . . . . . . . . . . . . . . . . . 438 10
BOREL-MOORE HOMOLOGY 439 11 MODIFIED BOREL-MOORE HOMOLOGY 442 12
SINGULAR HOMOLOGY 443 13 ACYCLIC COVERINGS 445 14 APPLICATIONS TO MAPS
446 EXERCISES 448 A SPECTRAL SEQUENCES 449 1 THE SPECTRAL SEQUENCE OF A
FILTERED COMPLEX 449 2 DOUBLE COMPLEXES 451 3 PRODUCTS 453 4
HOMOMORPHISMS 454 B SOLUTIONS TO SELECTED EXERCISES 455 SOLUTIONS FOR
CHAPTER I 455 SOLUTIONS FOR CHAPTER II 459 SOLUTIONS FOR CHAPTER III 472
SOLUTIONS FOR CHAPTER IV 473 SOLUTIONS FOR CHAPTER V 480 SOLUTIONS FOR
CHAPTER VI . . 486 BIBLIOGRAPHY 487 LIST OF SYMBOLS 491 LIST OF SELECTED
FACTS 493 INDEX 495
|
| any_adam_object | 1 |
| author | Bredon, Glen E. 1932-2000 |
| author_GND | (DE-588)1013248945 |
| author_facet | Bredon, Glen E. 1932-2000 |
| author_role | aut |
| author_sort | Bredon, Glen E. 1932-2000 |
| author_variant | g e b ge geb |
| building | Verbundindex |
| bvnumber | BV011300351 |
| 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 300 SK 320 |
| classification_tum | MAT 554f |
| ctrlnum | (OCoLC)246649907 (DE-599)BVBBV011300351 |
| 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 | 3514.224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011300351 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:07:26Z |
| institution | BVB |
| isbn | 0387949054 9781461268543 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007590739 |
| oclc_num | 246649907 |
| open_access_boolean | |
| owner | DE-739 DE-12 DE-20 DE-384 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-11 DE-29T DE-19 DE-BY-UBM |
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| physical | XI, 502 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Bredon, Glen E. 1932-2000 Verfasser (DE-588)1013248945 aut Sheaf theory Glen E. Bredon 2. ed. New York [u.a.] Springer 1997 XI, 502 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 170 Literaturverz. S. 487 - 490 Sheaf theory Homologie (DE-588)4141951-0 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Garbentheorie (DE-588)4155956-3 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 gnd rswk-swf Garbentheorie (DE-588)4155956-3 s DE-604 Garbe Mathematik (DE-588)4019261-1 s Algebraische Topologie (DE-588)4120861-4 s 1\p DE-604 Homologie (DE-588)4141951-0 s 2\p DE-604 Kohomologie (DE-588)4031700-6 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-1-4612-6854-3 Graduate texts in mathematics 170 (DE-604)BV000000067 170 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bredon, Glen E. 1932-2000 Sheaf theory Graduate texts in mathematics Sheaf theory Homologie (DE-588)4141951-0 gnd Kohomologie (DE-588)4031700-6 gnd Garbentheorie (DE-588)4155956-3 gnd Algebraische Topologie (DE-588)4120861-4 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4031700-6 (DE-588)4155956-3 (DE-588)4120861-4 (DE-588)4019261-1 |
| title | Sheaf theory |
| title_auth | Sheaf theory |
| title_exact_search | Sheaf theory |
| title_full | Sheaf theory Glen E. Bredon |
| title_fullStr | Sheaf theory Glen E. Bredon |
| title_full_unstemmed | Sheaf theory Glen E. Bredon |
| title_short | Sheaf theory |
| title_sort | sheaf theory |
| topic | Sheaf theory Homologie (DE-588)4141951-0 gnd Kohomologie (DE-588)4031700-6 gnd Garbentheorie (DE-588)4155956-3 gnd Algebraische Topologie (DE-588)4120861-4 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| topic_facet | Sheaf theory Homologie Kohomologie Garbentheorie Algebraische Topologie Garbe Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT bredonglene sheaftheory |