| 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 |
| DOI： |
| 分类号:O189.23 |
| 基金项目:Supported by the National Natural Science Foundation of China (11301386;11026197;11226080);the Outstanding Youth Teacher Foundation of Tianjin (ZX110QN044) and the Doctor Foundation of Tianjin Normal University (52XB1011). |
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| A NEW FAMILY OF ELEMENTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES |
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WANG Yu-yu, WANG Jun-li
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College of Math. Science, Tianjin Normal University, Tianjin 300387, China
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| 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. |
| Key words: stable homotopy groups of spheres Toda-Smith spectrum sphere spectrum Adams spectral sequence May spectral sequence |
