A nontrivial product in the stable homotopy groups of spheres 被引量：17

A nontrivial product in the stable homotopy groups of spheres

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作者 LIU XiuguiInstitute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

出处《Science China Mathematics》 SCIE 2004年第6期831-841,共11页 中国科学：数学（英文版）

基金 This work was supported by the National Natural Science Foundation of China(Grant No.10171049) the Youth Project of Tianyuan Foundation(Grant No.10426028).

关键词范围的稳定的 homotopy 组亚当斯光谱顺序 Toda 铁匠系列 5 月光谱顺序 stable homotopy groups of spheres Adams spectral sequence Toda-Smith spectra May spectral sequence

分类号 O189.23 [理学—基础数学]

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参考文献2

1Xiangjun Wang,Qibing Zheng.$$[J].Science in China Series A: Mathematics.1998(6)
2Lin,J. K.A new family of filtration three in the stable homotopy of spheres[].Hiroshima Mathematical Journal.2001

同被引文献14

1刘秀贵,肖建明.Non-triviality of Two Elements β1λs and α1λs in the Stable Homotopy of Spheres[J].Northeastern Mathematical Journal,2006,22(1):10-14. 被引量：1
2刘秀贵.A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2006,26(2):193-201. 被引量：2
3刘秀贵.球面稳定同伦群中的一个新元素族b1g0γ^~s[J].系统科学与数学,2006,26(2):129-136. 被引量：1
4Jinkun LIN.Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum[J].Chinese Annals of Mathematics,Series B,2006,27(3):311-328. 被引量：2
5Xiugui LIU Xiangjun WANG.The Convergence of (r|~)_s(b_0h_n-h_1b_(n-1))[J].Chinese Annals of Mathematics,Series B,2006,27(3):329-340. 被引量：2
6刘秀贵,赵永强.球面稳定同伦中同伦元素β_2γ_s的非平凡性(英文)[J].数学杂志,2006,26(4):393-398. 被引量：1
7刘秀贵.球面稳定同伦中的复合元素α_1β_1γ_s的非平凡性(英文)[J].数学进展,2006,35(6):733-738. 被引量：1
8Xiu Gui LIU.A Nontrivial Product of Filtration s+5 in the Stable Homotopy of Spheres[J].Acta Mathematica Sinica,English Series,2007,23(3):385-392. 被引量：4
9Xiu Gui LIU.On the Convergence of Products _sh_1h_n in the Adams Spectral Sequence[J].Acta Mathematica Sinica,English Series,2007,23(6):1025-1032. 被引量：1
10赵浩,刘秀贵,金应龙.A NON-TRIVIAL PRODUCT OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2009,29(2):276-284. 被引量：3

引证文献17

1刘秀贵.A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2006,26(2):193-201. 被引量：2
2刘秀贵.球面稳定同伦群中的一个新元素族b1g0γ^~s[J].系统科学与数学,2006,26(2):129-136. 被引量：1
3刘秀贵,赵永强.球面稳定同伦中同伦元素β_2γ_s的非平凡性(英文)[J].数学杂志,2006,26(4):393-398. 被引量：1
4刘秀贵.球面稳定同伦中的复合元素α_1β_1γ_s的非平凡性(英文)[J].数学进展,2006,35(6):733-738. 被引量：1
5刘秀贵.球面稳定同伦元素α_1β_1β_s的非平凡性[J].数学物理学报（A辑）,2007,27(2):208-214.
6Xiu Gui LIU.On the Convergence of Products _sh_1h_n in the Adams Spectral Sequence[J].Acta Mathematica Sinica,English Series,2007,23(6):1025-1032. 被引量：1
7刘秀贵.May谱序列的一些注记[J].数学物理学报（A辑）,2007,27(5):802-810.
8Xiugui LIU.Detection of Some Elements in the Stable Homotopy Groups of Spheres[J].Chinese Annals of Mathematics,Series B,2008,29(3):291-316.
9赵浩,刘秀贵,金应龙.A NON-TRIVIAL PRODUCT OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2009,29(2):276-284. 被引量：3
10刘秀贵,蒋珊珊.乘积元b_(0g0)■_s在Adams谱序列中的收敛性[J].数学进展,2009(3):319-326.

二级引证文献9

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2Xiugui LIU.Detection of Some Elements in the Stable Homotopy Groups of Spheres[J].Chinese Annals of Mathematics,Series B,2008,29(3):291-316.
3钟立楠,刘秀贵.关于同伦元素α1β1β2γs[J].数学年刊（A辑）,2013,34(4):487-498.
4刘秀贵.ON AN INFINITE FAMILY IN π_S*[J].Acta Mathematica Scientia,2014,34(1):82-92.
5Jianxia BAI,Jianguo HONG.A Relation in the Stable Homotopy Groups of Spheres[J].Chinese Annals of Mathematics,Series B,2015,36(3):413-426.
6Xiu Gui LIU Xiang Jun WANG School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,P.R.China.A Four-filtrated May Spectral Sequence and Its Applications[J].Acta Mathematica Sinica,English Series,2008,24(9):1507-1524. 被引量：3
7王冲,刘秀贵.古典Adams谱序列中的一个非平凡乘积元[J].数学的实践与认识,2018,48(2):223-226.
8李园园,王玉玉.第四希腊字母类乘积元的非平凡性[J].天津师范大学学报（自然科学版）,2020,40(4):11-13.
9Li Nan ZHONG,Jian Guo HONG,Hao ZHAO.Some Secondary Differentials on the Fourth Line of the Adams Spectral Sequence[J].Acta Mathematica Sinica,English Series,2021,37(6):957-970.

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Science China Mathematics

2004年第6期

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A nontrivial product in the stable homotopy groups of spheres 被引量：17

参考文献2

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