Bordism, stable homotopy and Adams spectral sequences:
Aus dem Vorwort: "This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995."
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1996]
|
| Schriftenreihe: | Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Aus dem Vorwort: "This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995." |
| Beschreibung: | xiii, 272 Seiten Diagramme |
| ISBN: | 0821806009 9780821806005 |
Internformat
MARC
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| 100 | 1 | |a Kochman, Stanley O. |d 1946- |e Verfasser |0 (DE-588)172192056 |4 aut | |
| 245 | 1 | 0 | |a Bordism, stable homotopy and Adams spectral sequences |c S. O. Kochman |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1996] | |
| 264 | 4 | |c © 1996 | |
| 300 | |a xiii, 272 Seiten |b Diagramme | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |v 7 | |
| 520 | 3 | |a Aus dem Vorwort: "This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995." | |
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| 650 | 4 | |a Adams spectral sequences | |
| 650 | 4 | |a Cobordism theory | |
| 650 | 4 | |a Homotopy theory | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007628875 | |
Datensatz im Suchindex
| _version_ | 1807864632628477952 |
|---|---|
| adam_text |
Contents
Preface ix
Chapter 1 Bordism 1
1.1 Introduction 1
1.2 Smooth Manifolds 2
1.3 Classifying Spaces 8
1.4 Manifolds with (B,f) Structure 13
1.5 Pontrjagin Thom Theorem 21
1.6 Further Reading 31
Chapter 2 Characteristic Classes 33
2.1 Introduction 33
2.2 Serre Spectral Sequence 34
2.3 Cohomology of Classifying Spaces 38
2.4 Homology of Classifying Spaces 47
2.5 Steenrod Algebra 51
2.6 Homology of Thorn Spectra 57
2.7 Further Reading 65
Chapter 3 Stable Category 67
3.1 Introduction 67
3.2 Underlying Theorems 68
3.3 Spectra 75
3.4 Generalized Homology 84
3.5 Eilenberg MacLane Spectra 92
3.6 Adams Spectral Sequence ^
3.7 Homotopy of Thorn Spectra 112
3.8 Further Reading 117
Chapter 4 Complex Bordism 119
4.1 Introduction 119
4.2 Atiyah Hirzebruch Spectral Sequences 120
4.3 MU Characteristic Classes 131
4.4 Formal Products 146
4.5 MU Operations 158
4.6 Brown Peterson Spectra 168
4.7 Adams Novikov Spectral Sequence 179
4.8 Further Reading 187
vii
viii Contents
Chapter 5 Computing Stable Stems 189
5.1 Introduction 189
5.2 Lambda Algebra 191
5.3 May Spectral Sequence 198
5.4 Massey Products 208
5.5 The Lambda Complex T* 214
5.6 The Lambda Complex Y*BP 226
5.7 Toda Brackets and Stable Stems 241
5.8 Further Reading 258
Bibliography 263
Index 269 |
| any_adam_object | 1 |
| author | Kochman, Stanley O. 1946- |
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| author_facet | Kochman, Stanley O. 1946- |
| author_role | aut |
| author_sort | Kochman, Stanley O. 1946- |
| author_variant | s o k so sok |
| building | Verbundindex |
| bvnumber | BV011352805 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.7 |
| callnumber-search | QA612.7 |
| callnumber-sort | QA 3612.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 300 SK 350 |
| ctrlnum | (OCoLC)34932890 (DE-599)BVBBV011352805 |
| dewey-full | 514/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.24 |
| dewey-search | 514/.24 |
| dewey-sort | 3514 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011352805 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-20T00:34:27Z |
| institution | BVB |
| isbn | 0821806009 9780821806005 |
| language | English |
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| physical | xiii, 272 Seiten Diagramme |
| publishDate | 1996 |
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| publisher | American Mathematical Society |
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| series | Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |
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| spelling | Kochman, Stanley O. 1946- Verfasser (DE-588)172192056 aut Bordism, stable homotopy and Adams spectral sequences S. O. Kochman Providence, Rhode Island American Mathematical Society [1996] © 1996 xiii, 272 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs 7 Aus dem Vorwort: "This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995." Homotopie ram Adams spectral sequences Cobordism theory Homotopy theory Homotopie (DE-588)4025803-8 gnd rswk-swf Adams-Spektralsequenz (DE-588)4141371-4 gnd rswk-swf Kobordismus (DE-588)4148171-9 gnd rswk-swf Kobordismus (DE-588)4148171-9 s Homotopie (DE-588)4025803-8 s Adams-Spektralsequenz (DE-588)4141371-4 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-3134-1 Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs 7 (DE-604)BV009737926 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kochman, Stanley O. 1946- Bordism, stable homotopy and Adams spectral sequences Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs Homotopie ram Adams spectral sequences Cobordism theory Homotopy theory Homotopie (DE-588)4025803-8 gnd Adams-Spektralsequenz (DE-588)4141371-4 gnd Kobordismus (DE-588)4148171-9 gnd |
| subject_GND | (DE-588)4025803-8 (DE-588)4141371-4 (DE-588)4148171-9 |
| title | Bordism, stable homotopy and Adams spectral sequences |
| title_auth | Bordism, stable homotopy and Adams spectral sequences |
| title_exact_search | Bordism, stable homotopy and Adams spectral sequences |
| title_full | Bordism, stable homotopy and Adams spectral sequences S. O. Kochman |
| title_fullStr | Bordism, stable homotopy and Adams spectral sequences S. O. Kochman |
| title_full_unstemmed | Bordism, stable homotopy and Adams spectral sequences S. O. Kochman |
| title_short | Bordism, stable homotopy and Adams spectral sequences |
| title_sort | bordism stable homotopy and adams spectral sequences |
| topic | Homotopie ram Adams spectral sequences Cobordism theory Homotopy theory Homotopie (DE-588)4025803-8 gnd Adams-Spektralsequenz (DE-588)4141371-4 gnd Kobordismus (DE-588)4148171-9 gnd |
| topic_facet | Homotopie Adams spectral sequences Cobordism theory Homotopy theory Adams-Spektralsequenz Kobordismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009737926 |
| work_keys_str_mv | AT kochmanstanleyo bordismstablehomotopyandadamsspectralsequences |