On Thom spectra orientability and cobordism:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1998
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 553 - 571 |
| Beschreibung: | XII, 587 S. |
| ISBN: | 3540620435 |
Internformat
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| 245 | 1 | 0 | |a On Thom spectra orientability and cobordism |c Yu. B. Rudyak |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
| 300 | |a XII, 587 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
Foreword VII
Preface IX
Introduction 1
Chapter I. Notation, Conventions and Other Preliminaries . 9
§1. Generalities 9
§2. Algebra 12
§3. Topology 14
Chapter II. Spectra and (Co)homology Theories 33
§1. Preliminaries on Spectra 33
§2. The Smash product of Spectra, Duality, Ring and Module
Spectra 45
§3. (Co)homology Theories and Their Connection with
Spectra 53
§4. Homotopy Properties of Spectra 79
§5. Localization 97
§6. Algebras, Coalgebras and Hopf Algebras 108
§7. Graded Eilenberg Mac Lane Spectra 121
Chapter III. Phantoms 135
§1. Phantoms and the Inverse Limit Functor 135
§2. Derived Functors of the Inverse Limit Functor 143
§3. Representability Theorems 152
§4. A Spectral Sequence 163
§5. A Sufficient Condition for the Absence of Phantoms 172
§6. Almost Equivalent Spectra (Spaces) 175
§7. Multiplications and Quasi multiplications 181
Chapter IV. Thom Spectra 187
§1. Fibrations and Their Classifying Spaces 187
§2. Structures on Fibrations 224
§3. A Glance at Locally Trivial Bundles 230
§4. E Bundles and Spherical Fibrations 234
§5. Thom Spaces and Thom Spectra 252
§6. Homotopy Properties of Certain Thom Spectra 270
§7. Manifolds and (Co)bordism 277
XII Table of Contents
Chapter V. Orientability and Orientations 301
§1. Orientations of Bundles and Fibrations 302
§2. Orientations of Manifolds 318
§3. Orientability and Integrality 324
§4. Obstructions to Orientability 329
§5. Readability of the Obstructions to Orientability 337
Chapter VI. K and .RTO Orientability 341
§1. Some Secondary Operations on Thorn Classes 341
§2. Some Calculations with Classifying Spaces 353
§3. fc Orientability 361
§4. JfcO Orientability 376
§5. A Few Geometric Observations 381
Chapter VII. Complex (Co)bordism 385
§1. Homotopy and Homology Properties of the Spectrum MU . 385
§2. C oriented Spectra 395
§3. Operations on MU. Idempotents. The Brown Peterson
Spectrum BP 404
§4. Invariant Prime Ideals. The Filtration Theorem 421
§5. Formal Groups 430
§6. Formal Groups Input 435
§7. The Steenrod tom Dieck Operations 448
Chapter VIII. (Co)bordism with Singularities 459
§1. Definitions and Basic Properties 459
§2. Multiplicative Structures 468
§3. Obstructions and the Steenrod tom Dieck Operations 476
§4. A Universality Theorem for MU with Singularities 483
§5. Realization of Homology Classes by PL Manifolds with
Singularities 489
Chapter IX. Complex (Co)bordism with Singularities 497
§1. Brown Peterson (Co)homology with Singularities 497
§2. The Spectra P(n) 500
§3. Homological Properties of the Spectra P(n) 507
§4. The Exactness Theorem 516
§5. Commutative Ring Spectra of Characteristic 2 523
§6. The Spectra BP(n) and Homological Dimension 529
§7. Morava X Theories 540
References 553
List of Notations 573
Subject Index 579
|
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| id | DE-604.BV011626647 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:12:59Z |
| institution | BVB |
| isbn | 3540620435 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007834254 |
| oclc_num | 845022360 |
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| physical | XII, 587 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Rudjak, Julij 1948- Verfasser (DE-588)115774076 aut On Thom spectra orientability and cobordism Yu. B. Rudyak Berlin [u.a.] Springer 1998 XII, 587 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 553 - 571 Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Kobordismus (DE-588)4148171-9 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 s K-Theorie (DE-588)4033335-8 s Kobordismus (DE-588)4148171-9 s DE-604 Topologische Mannigfaltigkeit (DE-588)4185712-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007834254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rudjak, Julij 1948- On Thom spectra orientability and cobordism Kohomologietheorie (DE-588)4164610-1 gnd K-Theorie (DE-588)4033335-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Kobordismus (DE-588)4148171-9 gnd |
| subject_GND | (DE-588)4164610-1 (DE-588)4033335-8 (DE-588)4185712-4 (DE-588)4148171-9 |
| title | On Thom spectra orientability and cobordism |
| title_auth | On Thom spectra orientability and cobordism |
| title_exact_search | On Thom spectra orientability and cobordism |
| title_full | On Thom spectra orientability and cobordism Yu. B. Rudyak |
| title_fullStr | On Thom spectra orientability and cobordism Yu. B. Rudyak |
| title_full_unstemmed | On Thom spectra orientability and cobordism Yu. B. Rudyak |
| title_short | On Thom spectra orientability and cobordism |
| title_sort | on thom spectra orientability and cobordism |
| topic | Kohomologietheorie (DE-588)4164610-1 gnd K-Theorie (DE-588)4033335-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Kobordismus (DE-588)4148171-9 gnd |
| topic_facet | Kohomologietheorie K-Theorie Topologische Mannigfaltigkeit Kobordismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007834254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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