球面稳定同伦群中的一族新元素（英文）  

A NEW FAMILY OF ELEMENTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES

作　　者：王玉玉[1] 王俊丽[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《数学杂志》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)

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.

关 键 词：稳定同伦群 TODA-SMITH谱 球谱 ADAMS谱序列 MAY谱序列 

分 类 号：O189.23[理学—数学]