000 02936nam a22004815i 4500
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
024 7 _a10.1007/BFb0083795
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a514.2
_223
100 1 _aKochman, Stanley O.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aX, 334 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1423
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
856 4 0 _uhttps://doi.org/10.1007/BFb0083795
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10741
_d10741