在线阅读 --自然科学版 2014年4期《l1g0的收敛性》
l1g0的收敛性--[在线阅读]
冯丽丽, 王玉玉
天津师范大学 数学科学学院, 天津 300387
起止页码: 348--351页
DOI: 10.11826/j.issn.1000-5854.2014.04.005
摘要
球面稳定同伦群的研究是同伦论中的一个重要课题,Smith-Toda谱Vn)的同伦群与球谱S的同伦群有极其紧密的联系.主要利用May谱序列证明l1g0在Adams谱序列中是永久循环且不是dr边缘,从而收敛到πp2q+3pq+2q-5V(1))中的非零元,其中n=1,2,p≥11,q=2(p-1).

The Convergence of l1g0
FENG Lili, WANG Yuyu
College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
Abstract:
In homotopy theory,it is one of the important problems to determine the stable homotopy theory of a sphere,the homotopy group of Smith-Toda spectrum V(n) is in close tie with that of sphere spectrum S.In this paper,by using the May's spectral sequence,we show that l1g0,in the Adams' spectral sequence,is a permanent cycle and not a dr-boundary,and thus,it converges to a nontrivial element in πp2q+3pq+2q-5(V(1)) where n=1,2,p≥11,q=2(p-1).

收稿日期: 2013-9-15
基金项目: 国家自然科学基金(11301386,11026197,11071125,11226080);天津市优秀青年教师资助计划(ZX110QNo44);天津师范大学博士基金(52XB1011)

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