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球面稳定同伦群中的一族新元素
引用本文:王玉玉,王俊丽.球面稳定同伦群中的一族新元素[J].数学杂志,2015,35(2):294-306.
作者姓名:王玉玉  王俊丽
作者单位:天津师范大学数学科学学院
基金项目: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E2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.

关 键 词:稳定同伦群  Toda-Smith谱  球谱  Adams谱序列  May谱序列
收稿时间:2013/6/4 0:00:00
修稿时间:2014/2/10 0:00:00

A NEW FAMILY OF ELEMENTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES
WANG Yu-yu and WANG Jun-li.A NEW FAMILY OF ELEMENTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Journal of Mathematics,2015,35(2):294-306.
Authors:WANG Yu-yu and WANG Jun-li
Institution:WANG Yu-yu;WANG Jun-li;College of Math.Science,Tianjin Normal University;
Abstract: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 E2-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.
Keywords:stable homotopy groups of spheres  Toda-Smith spectrum  sphere spectrum  Adams spectral sequence  May spectral sequence
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