Secondary cohomology operations
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2002
|
| Schriftenreihe: | Graduate studies in mathematics
49 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Harper, John R. |d 1941- |e Verfasser |0 (DE-588)172126177 |4 aut | |
| 245 | 1 | 0 | |a Secondary cohomology operations |c John R. Harper |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2002 | |
| 300 | |a XI, 268 S. | ||
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| 490 | 1 | |a Graduate studies in mathematics |v 49 | |
| 650 | 7 | |a COHOMOLOGIA |2 larpcal | |
| 650 | 4 | |a Homologie | |
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Datensatz im Suchindex
| DE-19_call_number | 1601/SK 300 H249 |
|---|---|
| DE-19_location | 95 |
| DE-BY-UBM_katkey | 4690220 |
| DE-BY-UBM_media_number | 41620557150017 |
| _version_ | 1823055110451757056 |
| adam_text | Contents
Preface vii
Chapter 1. Review of Primary Operations 1
§1.1. Primary cohomology operations 1
§1.2. Steenrod operations and the Steenrod algebra 4
§1.3. Cohomology operations and Eilenberg Mac Lane spaces 21
§1.4. Steenrod operations and maps between spheres 29
§1.5. Steenrod operations for odd primes 33
Chapter 2. Segue to Secondary Operations 41
Chapter 3. Fundamental Constructions 45
§3.1. Terminology and conventions 45
§3.2. Basic constructions 49
§3.3. Dependence on homotopies 60
§3.4. Peterson Stein formulas 64
§3.5. The Milnor filtration 69
Chapter 4. Secondary Cohomology Operations 85
§4.1. Definitions 85
§4.2. The fundamental theorem for secondary operations 90
§4.3. Higher order operations 121
Chapter 5. Calculations with Secondary Operations 129
§5.1. Operations based on Sq(2)Sq(n) 129
§5.2. Higher order Bocksteins 138
v
vi Contents
§5.3. The Adams operations 147
§5.4. The Liulevicius Shimada Yamanoshita operations 155
§5.5. Operations based on unstable relations 160
Chapter 6. The Hopf Invariant 179
§6.1. The classical Hopf invariant 179
§6.2. Hopf invariant one 188
Chapter 7. The Cohomology Structure of Universal Examples 199
§7.1. Unstable modules and algebras over the Steenrod algebra 199
§7.2. Massey Peterson fibrations 205
§7.3. Products 229
Bibliography 261
Index 267
|
| any_adam_object | 1 |
| author | Harper, John R. 1941- |
| author_GND | (DE-588)172126177 |
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| callnumber-sort | QA 3612.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 300 SK 230 SK 320 |
| ctrlnum | (OCoLC)49519159 (DE-599)BVBBV014462768 |
| dewey-full | 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.23 |
| dewey-search | 514/.23 |
| dewey-sort | 3514 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014462768 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:28:01Z |
| institution | BVB |
| isbn | 9780821832707 0821831984 0821832700 |
| language | English |
| lccn | 2002023236 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009875790 |
| oclc_num | 49519159 |
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| owner_facet | DE-355 DE-BY-UBR DE-83 DE-11 DE-188 DE-19 DE-BY-UBM |
| physical | XI, 268 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spellingShingle | Harper, John R. 1941- Secondary cohomology operations Graduate studies in mathematics COHOMOLOGIA larpcal Homologie Homology theory Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4141714-8 |
| title | Secondary cohomology operations |
| title_auth | Secondary cohomology operations |
| title_exact_search | Secondary cohomology operations |
| title_full | Secondary cohomology operations John R. Harper |
| title_fullStr | Secondary cohomology operations John R. Harper |
| title_full_unstemmed | Secondary cohomology operations John R. Harper |
| title_short | Secondary cohomology operations |
| title_sort | secondary cohomology operations |
| topic | COHOMOLOGIA larpcal Homologie Homology theory Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | COHOMOLOGIA Homologie Homology theory Homologietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009875790&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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