数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 82-92.doi: 10.1016/S0252-9602(13)60128-9

• 论文 • 上一篇    下一篇

ON AN INFINITE FAMILY IN π*S

刘秀贵   

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • 收稿日期:2012-09-27 出版日期:2014-01-20 发布日期:2014-01-20
  • 基金资助:

    The author was partially supported by NSFC (11171161), NCET and SRF for ROCS, SEM.

ON AN INFINITE FAMILY IN π*S

 LIU Xiu-Gui   

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • Received:2012-09-27 Online:2014-01-20 Published:2014-01-20
  • Supported by:

    The author was partially supported by NSFC (11171161), NCET and SRF for ROCS, SEM.

摘要:

In this paper, a new family of homotopy elements in the stable homotopy groups of spheres represented by h1hnhm˜
s in the Adams spectral sequence is detected, where n − 2 ≥ m ≥ 5 and 3 ≤ s < p.

关键词: stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence, Adams-Novikov spectral sequence

Abstract:

In this paper, a new family of homotopy elements in the stable homotopy groups of spheres represented by h1hnhm˜
s in the Adams spectral sequence is detected, where n − 2 ≥ m ≥ 5 and 3 ≤ s < p.

Key words: stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence, Adams-Novikov spectral

中图分类号: 

  • 55Q45