Stable homotopy groups of spheres : a computer-assisted approach /
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| Author / Creator: | Kochman, Stanley O., 1946- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1990. |
| Description: | 1 online resource (viii, 330 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1423 Lecture notes in mathematics (Springer-Verlag) ; 1423. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071278 |
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| 055 | 3 | |a QA612 .78 |b K63 1990 | |
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| 049 | |a MAIN | ||
| 100 | 1 | |a Kochman, Stanley O., |d 1946- |0 http://id.loc.gov/authorities/names/n80001746 |1 http://viaf.org/viaf/110950539 | |
| 245 | 1 | 0 | |a Stable homotopy groups of spheres : |b a computer-assisted approach / |c Stanley O. Kochman. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1990. | ||
| 300 | |a 1 online resource (viii, 330 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1423 | |
| 504 | |a Includes bibliographical references (pages 328-330). | ||
| 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. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 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. | |
| 650 | 0 | |a Homotopy groups |x Data processing. | |
| 650 | 0 | |a Sphere. |0 http://id.loc.gov/authorities/subjects/sh85126590 | |
| 650 | 6 | |a Groupes d'homotopie |x Informatique. | |
| 650 | 6 | |a Sphère. | |
| 650 | 7 | |a Homotopy groups |x Data processing. |2 fast |0 (OCoLC)fst00959851 | |
| 650 | 7 | |a Sphere. |2 fast |0 (OCoLC)fst01129664 | |
| 650 | 0 | 7 | |a Stabile Homotopiegruppe. |2 swd |
| 650 | 0 | 7 | |a Kugel. |2 swd |
| 650 | 0 | 7 | |a Homotopiegruppe. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Kochman, Stanley O., 1946- |t Stable homotopy groups of spheres. |d Berlin ; New York : Springer-Verlag, ©1990 |z 3540524681 |w (DLC) 90034096 |w (OCoLC)21302923 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1423. | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/BFb0083795 |y SpringerLink |
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| 929 | |a eresource | ||
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| 928 | |t Library of Congress classification |a QA3 .L28 no. 1423 |l Online |c UC-FullText |u http://link.springer.com/10.1007/BFb0083795 |z SpringerLink |g ebooks |i 9879352 | ||