Stable Homotopy Groups of Spheres : A Computer-Assisted Approach
A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods a...
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| المؤلف الرئيسي: | |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1423 |
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Stable homotopy groups of spheres, a computer-assisted approach, Stanley O. Kochman, 1990, Berlin, Springer, 1 volume (VIII-330 pages), Lecture notes in mathematics, 0-387-52468-1 • Stable Homotopy Groups of Spheres, Texte imprimé, 9783662167281 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Kochman, Stanley O., |d 1946- | |
| 245 | 1 | 0 | |a Stable Homotopy Groups of Spheres : |b A Computer-Assisted Approach |c Stanley O. Kochman. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1423 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Toda brackets -- Low dimensional computations -- The image of J -- The Japanese stems (?N, 9?N?31) -- The Chicago stem (?S N, 32?N?45) -- The new stems (?S N, 46?N?64) -- The elements of arf invariant one. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods are applied to compute inductively the first 64 stable stems, a substantial improvement over the previously known 45. Much of this computation is algorithmic and is done by computer. As an application, an element of degree 62 of Kervaire invariant one is shown to have order two. This book will be useful to algebraic topologists and graduate students with a knowledge of basic homotopy theory and Brown-Peterson homology; for its methods, as a reference on the structure of the first 64 stable stems and for the tables depicting the behavior of the Atiyah-Hirzebruch and classical Adams spectral sequences through degree 64. | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Sphère | ||
| 650 | |a Homotopie | ||
| 776 | 0 | |0 021480516 |t Stable homotopy groups of spheres |o a computer-assisted approach |f Stanley O. Kochman |d 1990 |c Berlin |n Springer |p 1 volume (VIII-330 pages) |s Lecture notes in mathematics |z 0-387-52468-1 | |
| 776 | 0 | |t Stable Homotopy Groups of Spheres |b Texte imprimé |z 9783662167281 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0083795 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3FGD3MGM-6 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750633867 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0083795 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753990229 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0083795 |z Accès INSA CVL | |
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