摘要
本文研究了球面稳定同伦群中元素的非平凡性.利用May谱序列,证明了在Adams谱序列E_2项中存在乘积元素收敛到球面稳定同伦群的一族阶为p的非零元,此非零元具有更高维数的滤子.
In this paper,we study the non-triviality of the elements in the stable homotopy groups of spheres.Using the May spectral sequence,the authors show that there exists a new product in the E_2-term of the Adams spectral sequence,which converges to a family of homotopy elements with order p and higher filtration in the stable homotopy groups of spheres.
出处
《数学杂志》
CSCD
北大核心
2015年第2期294-306,共13页
Journal of Mathematics
基金
Supported by the National Natural Science Foundation of China(11301386
11026197
11226080)
the Outstanding Youth Teacher Foundation of Tianjin(ZX110QN044)
the Doctor Foundation of Tianjin Normal University(52XB1011)
