| Toda-Smith谱同伦群的具有第六滤子的新非平凡元素族 |
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| 引用本文： | 肖建明,王健波,金应龙,刘秀贵.Toda-Smith谱同伦群的具有第六滤子的新非平凡元素族[J].数学年刊A辑(中文版),2005(6). |
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| 作者姓名： | 肖建明 王健波 金应龙 刘秀贵 |
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| 作者单位： | 中国人民大学信息学院，内蒙古大学理工学院，天津大学理学院，南开大学数学科学学院 北京 100872，呼和浩特 010021，天津 300000，天津 300071 |
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| 基金项目： | 国家自然科学基金(No．10171049)资助的项目 |
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| 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．
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| 关 键 词： | 稳定同伦群 Moore谱 Toda-Smith谱 上纤维序列 Adams谱序列 |
NEW NONTRIVIAL ELEMENTS OF THE HOMOTOPY GROUP OF TODA-SMITH SPECTRUM WITH FILTRATION 6 |
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| XIAO Jianming WANG Jianbo JIN Yinglong LIU Xiugui School of Information,Renmin University of China,Beijing ,China. School of Sciences and Technology,Inner Mongolia University,Huhehaote ,China. School of Sciences. Tianjin University,Tianjin ,China. School of Mathematics,Nankai University,Tianjin ,China..NEW NONTRIVIAL ELEMENTS OF THE HOMOTOPY GROUP OF TODA-SMITH SPECTRUM WITH FILTRATION 6[J].Chinese Annals of Mathematics,2005(6). |
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| Authors: | XIAO Jianming WANG Jianbo JIN Yinglong LIU Xiugui School of Information Renmin University of China Beijing China School of Sciences and Technology Inner Mongolia University Huhehaote China School of Sciences Tianjin University Tianjin China School of Mathematics Nankai University Tianjin China |
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| Institution: | XIAO Jianming WANG Jianbo JIN Yinglong LIU Xiugui School of Information,Renmin University of China,Beijing 100872,China. School of Sciences and Technology,Inner Mongolia University,Huhehaote 010021,China. School of Sciences. Tianjin University,Tianjin 300000,China. School of Mathematics,Nankai University,Tianjin 300071,China. |
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| Abstract: | This paper finds a permanent cycle which convergences in Adams spectrial sequence to a nonzero elment of and obtains by Adams resolution such that . Further with filtration 6 is obtained. |
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| Keywords: | Stable homotopy Moore spectrum Toda-Smith spectrum Cofibration Adams spectrial sequence |
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