English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)

2008/09/26 by Lin, Jinkun
#55Q45 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.0809.4587

Abstract

This paper is an English translation of chapter nine of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jinkun Lin (in Chinese)(Sciences Press, Beijing 2007). In this paper, a sequence of new indecomposable families in the stable homotopy groups of spheres such as h₀h_n,h_nb_n,h₀h_nh_m,h₀(h_mb_n-1-b_m-1h_n) families was detected. The proof of all the detections was stated in this paper in based on several published papers by the author.

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