期刊文献+

球面稳定同伦群的回访新元素族

Some New Families in the Stable Homotopy of Spheres Revisited
原文传递
导出
摘要 本文构造了在Adams谱序列中由hng0γ3∈E26,t所表示的球面稳定同伦群πt-6S的新元素族,回访了文[1]中构造的bn-1g0γ3-元素族∈πt-7S,其中t=2pn(p-1)+6(p2+P+1)(p-1),P≥7是素数, n≥4. This paper constructs a new family in the stable homotopy of spheres πt-6S represented by hng0γ3 ∈ E26,t in the Adams spectral sequence which revisits the bn-1g0γ3-elements ∈ πt-7S constructed in [1], where t - 2pn(p- l) + 6(p2+p+1)(p- 1) and p ≥ 7 is a prime, n ≥ 4.
作者 林金坤
机构地区 南开大学数学系
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2004年第2期393-402,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10171049)
关键词 球面稳定同伦群 ADAMS谱序列 TODA-SMITH谱 Stable homotopy of spheres Adams spectral sequence Toda-Smith spectrum
  • 相关文献

参考文献8

  • 1Lin J. K., Zheng Q. B., A new family of filtration seven in the stable homotopy of spheres, Hiroshima Math.J., 1998.28: 183-205.
  • 2Aikawa T., 3-Dimensional cohomology of the mod p Steenrod algebra, Math. Scand., 1980. 47: 91-115.
  • 3Liulevicius A., The factorizations of cyclic reduced powers by secondary cohomology operations, Memoirs of Amer. Math. Soc., 1962, 42.
  • 4Toda H., Algebra of stable homotopy of Zp-spaces and applications, J. Math. Kyoto Univ., 1971, 11: 197-251.
  • 5Hoffman P., Relations in the stable homotopy ring of Moore spaces, Proc. London Math. Soc., 1968, 18:621-634.
  • 6Oka S., Multiplicative structure of finite ring spectra and stable homotopy of spheres, Algebraic Topology(Aarhus), Lect. Notes in Math., 1984, 1051, Springer-Verlag.
  • 7Toda H., On spectra realizing exterior part of the Steenrod algebra, Topoloqy, 1971, 10: 53-65.
  • 8Cohen R., Odd primary families in stable homotopy theory, Memoirs of Amer. Math. Soc., 1981, 242.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部