Titlebook: Stable Homotopy Groups of Spheres; A Computer-Assisted Stanley O. Kochman Book 1990 Springer-Verlag Berlin Heidelberg 1990 Algebraic topol

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Book 1990ful 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.

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Book 1990this 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 algor

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Stable Homotopy Groups of Spheres978-3-540-46993-3Series ISSN 0075-8434 Series E-ISSN 1617-9692

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https://doi.org/10.1007/BFb0083795Algebraic topology; Atiyah-Hirzebruch spectral sequence; Homotopy; Homotopy group; homology; homotopy the

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