Stable homotopy groups of spheres: a computer-assisted approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1990
|
| Schriftenreihe: | Lecture notes in mathematics
1423 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 328 - 330 |
| Beschreibung: | VIII, 330 S. |
| ISBN: | 3540524681 0387524681 |
Internformat
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| 100 | 1 | |a Kochman, Stanley O. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stable homotopy groups of spheres |b a computer-assisted approach |c Stanley O. Kochman |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1990 | |
| 300 | |a VIII, 330 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1423 | |
| 500 | |a Literaturverz. S. 328 - 330 | ||
| 650 | 4 | |a Groupes d'homotopie - Informatique | |
| 650 | 4 | |a Sphère | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Homotopy groups |x Data processing | |
| 650 | 4 | |a Sphere | |
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| 650 | 0 | 7 | |a Kugel |0 (DE-588)4165914-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1805082661092327424 |
|---|---|
| adam_text |
TABLE OF CONTENTS
Preface i 1 i
Chapter 1: Introduction
Section 1. History of the Problem 1
Section 2. The Brown Peterson Spectrum
and Qui 1 len Operat ions 3
Section 3. The Inductive Procedure 5
Chapter 2: Toda Brackets
Section 1. Introduction 12
Section 2. Definitions 12
Section 3. Properties of the Toda Bracket 20
Section 4. The Atiyah Hirzebruch Spectral Sequence. 25
Chapter 3: Low Dimensional Computations
Section 1. Introduction 35
Section 2. d2 Differentials and
the Determination of E* 35
Section 3. d* Differentials and
the Determination of E6 39
Section 4. d8 Differentials and the Seven Row 48
Chapter 4: The Image of J
Section 1. Introduction 72
Section 2. ImJ and the Adams Spectral Sequence 72
Section 3. Differentials Originating
on the 0 Row Theory 80
Section 4. Differentials Originating
on the 0 Row Computation 86
Chapter 5: The Japanese Stems (it, 0=s N* 31)
Sect ion 1. Introduct ion 99
VIII
Section 2. The Toda Stems (it^, 9 £ N £ 19) 99
Section 3. The Oda Stems (irS, 20 £ N s 31) 104
N
Section 4. Tentative Differentials 113
Chapter 6: The Chicago Stems (n , 32 ^ N ^ 45)
Section 1. Introduction 139
Section 2. Computation of n , 32 s N £ 38 139
N
Section 3. Computation of n^, 39 s N s 45 149
Section 4. Tentative Differentials 162
Chapter 7: The New Stems (ir , 46 s N £ 64)
N
Section 1. Introduction 212
Section 2. Computation of ttS, 46 s N s 50 212
N
Section 3. Computation of it , 51 s N ^ 55 220
N
Section 4. Computation of it^, 56 s N s 60 230
c
Section 5. Computation of it , 61 s N s 64 242
N
Section 6. Tentative Differentials 253
Chapter 8: The Elements of Arf Invariant One
Section 1. Introduction 284
Section 2. The Existence of 8 285
4
Section 3. The Existence of 9 289
Appendix 1: The Stable Stems 294
Appendix 2: Multiplicative Relations 297
Appendix 3: Toda Brackets 303
Appendix 4: Leaders 306
Appendix 5: The Computer Programs 312
Appendix 6: The Adams Spectral Sequence 317
Appendix 7: Representing Maps 327
Bibl iography 328 |
| any_adam_object | 1 |
| author | Kochman, Stanley O. |
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| dewey-full | 510 514/.24 |
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| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514/.24 |
| dewey-search | 510 514/.24 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-20T07:36:12Z |
| institution | BVB |
| isbn | 3540524681 0387524681 |
| language | English |
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| physical | VIII, 330 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kochman, Stanley O. Verfasser aut Stable homotopy groups of spheres a computer-assisted approach Stanley O. Kochman Berlin [u.a.] Springer 1990 VIII, 330 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1423 Literaturverz. S. 328 - 330 Groupes d'homotopie - Informatique Sphère Datenverarbeitung Homotopy groups Data processing Sphere Homotopiegruppe (DE-588)4160621-8 gnd rswk-swf Stabile Homotopiegruppe (DE-588)4234506-6 gnd rswk-swf Kugel (DE-588)4165914-4 gnd rswk-swf Stabile Homotopiegruppe (DE-588)4234506-6 s DE-604 Kugel (DE-588)4165914-4 s Homotopiegruppe (DE-588)4160621-8 s Lecture notes in mathematics 1423 (DE-604)BV000676446 1423 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001681626&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kochman, Stanley O. Stable homotopy groups of spheres a computer-assisted approach Lecture notes in mathematics Groupes d'homotopie - Informatique Sphère Datenverarbeitung Homotopy groups Data processing Sphere Homotopiegruppe (DE-588)4160621-8 gnd Stabile Homotopiegruppe (DE-588)4234506-6 gnd Kugel (DE-588)4165914-4 gnd |
| subject_GND | (DE-588)4160621-8 (DE-588)4234506-6 (DE-588)4165914-4 |
| title | Stable homotopy groups of spheres a computer-assisted approach |
| title_auth | Stable homotopy groups of spheres a computer-assisted approach |
| title_exact_search | Stable homotopy groups of spheres a computer-assisted approach |
| title_full | Stable homotopy groups of spheres a computer-assisted approach Stanley O. Kochman |
| title_fullStr | Stable homotopy groups of spheres a computer-assisted approach Stanley O. Kochman |
| title_full_unstemmed | Stable homotopy groups of spheres a computer-assisted approach Stanley O. Kochman |
| title_short | Stable homotopy groups of spheres |
| title_sort | stable homotopy groups of spheres a computer assisted approach |
| title_sub | a computer-assisted approach |
| topic | Groupes d'homotopie - Informatique Sphère Datenverarbeitung Homotopy groups Data processing Sphere Homotopiegruppe (DE-588)4160621-8 gnd Stabile Homotopiegruppe (DE-588)4234506-6 gnd Kugel (DE-588)4165914-4 gnd |
| topic_facet | Groupes d'homotopie - Informatique Sphère Datenverarbeitung Homotopy groups Data processing Sphere Homotopiegruppe Stabile Homotopiegruppe Kugel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001681626&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT kochmanstanleyo stablehomotopygroupsofspheresacomputerassistedapproach |