期刊文献+

Toda-Smith谱同伦群的具有第六滤子的新非平凡元素族

NEW NONTRIVIAL ELEMENTS OF THE HOMOTOPY GROUP OF TODA-SMITH SPECTRUM WITH FILTRATION 6
下载PDF
导出
摘要 当p≥7,n≥3时,本文找到一个永久循环 ,它在Adams谱序列中收敛到 的一个非零元素,由Adams分解得到 ,使得 ,进而得到 并且它具有第六滤子. This paper finds a permanent cycle (Фhn)″=Ф″Ж(hn)′∈(Ext^2,A)^(p^n (q+2q-1)(H^*L∧K,H^*K),P≥7,n≥3, which convergences in Adams spectrial sequence to a nonzero elment of [∑p^n( q+2q-3)K,L∧K], and obtains by Adams resolution η″n,2∈[∑p^n( q+2q-3)K,E2∧L∧K] such that (b^-2∧1L∧K)η″n,2=(Фhn)″. Further f^-∈[∑p^n(q+(3p^2+3p+4)q-5S,K] with filtration 6 is obtained.
出处 《数学年刊(A辑)》 CSCD 北大核心 2005年第6期855-866,共12页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10171049)资助的项目
关键词 稳定同伦群 Moore谱 TODA-SMITH谱 上纤维序列 ADAMS谱序列 Stable homotopy, Moore spectrum, Toda-Smith spectrum, Cofibration,Adams spectrial sequence
  • 相关文献

参考文献1

二级参考文献7

  • 1Lin J K,Zheng Q B.A new family of filtration seven in the stable homotopy of spheres[].Hiroshima Mathematical Journal.1998
  • 2Cohen R.Odd primary families in stable homotopy theory, Memoirs of Amer[].Mathematical Social Sciences.1981
  • 3Toda H.On Spectra Realizing Exterior Part of the Steenrod Algebra[].Topology.1971
  • 4Liulevicius A.The factorizations of cyclic reduced powers by secondary cohomology operations, Memoirs ofAmer[].Mathematical Social Sciences.1962
  • 5Aikawa T.3-dimensional cohomology of the mod p Steenrod algebra[].Mathematica Scandinavica.1980
  • 6TODA H.Algcbra of stable homotopy of Zp-spaces and applications[].Journal of Mathematics of Kyoto University.1971
  • 7Hoffman P.Relations in the stable homotopy ring of Moore spaces, Proc[].London Mathematical Society.1968

共引文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部