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A ■_n-Related Family of Homotopy Elements in the Stable Homotopy of Spheres

A ■_n-Related Family of Homotopy Elements in the Stable Homotopy of Spheres
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摘要 To determine the stable homotopy groups of spheres π*(S) is one of the central problems in homotopy theory. Let p be a prime greater than 5. The authors make use of the May spectral sequence and the Adams spectral sequence to prove the existence of a Bn-related family of homotopy elements, β1ωnγs, in the stable homotopy groups of spheres, where Bn〉 3, 3≤s〈 p-2 and the Bn-element was detected by X. Liu.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第5期849-860,共12页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.11571186)
关键词 Stable homotopy groups of spheres Adams spectral sequence May spectral sequence Bn 稳定 元素 家庭 亚当斯 光谱
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