000 | 02936nam a22004815i 4500 | ||
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001 | 978-3-540-46993-3 | ||
003 | DE-He213 | ||
005 | 20190213151445.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1990 gw | s |||| 0|eng d | ||
020 |
_a9783540469933 _9978-3-540-46993-3 |
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024 | 7 |
_a10.1007/BFb0083795 _2doi |
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050 | 4 | _aQA612-612.8 | |
072 | 7 |
_aPBPD _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBPD _2thema |
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082 | 0 | 4 |
_a514.2 _223 |
100 | 1 |
_aKochman, Stanley O. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aStable Homotopy Groups of Spheres _h[electronic resource] : _bA Computer-Assisted Approach / _cby Stanley O. Kochman. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1990. |
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300 |
_aX, 334 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1423 |
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505 | 0 | _aToda 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. | |
520 | _aA 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 | 0 | _aAlgebraic topology. | |
650 | 0 | _aComputer software. | |
650 | 1 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
650 | 2 | 4 |
_aAlgorithm Analysis and Problem Complexity. _0http://scigraph.springernature.com/things/product-market-codes/I16021 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662167281 |
776 | 0 | 8 |
_iPrinted edition: _z9783540524687 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1423 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0083795 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10741 _d10741 |