A ωn-Related Family of Homotopy Elements in the Stable Homotopy of Spheres Citation： Xiugui LIU,Jianming XIAO,Da ZHENG.A ωn-Related Family of Homotopy Elements in the Stable Homotopy of Spheres[J].Chinese Annals of Mathematics B,2018,39(5):849~860 Page view： 213        Net amount： 215 Authors： Xiugui LIU; Jianming XIAO;Da ZHENG Foundation： This work was supported by the National Natural Science Foundation of China (No.11571186). Abstract： To determine the stable homotopy groups of spheres $\pi_*(S)$ 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 $\varpi_n$-related family of homotopy elements, $\beta_1\omega_n\gamma_{s}$, in the stable homotopy groups of spheres, where $n>3$, \$3\leq s Keywords： Stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence Classification： 55Q45 Download PDF Full-Text