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arxiv: 1806.10892 · v1 · pith:FOBOVU52new · submitted 2018-06-28 · 🧮 math.AT

The Method of Infinite Descent in Stable Homotopy Theory II

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This paper is a continuation of the version I of the same title, which intends to clarify and expand the results in the last chapter of `the green book' by the second author. In particular, we give the stable homotopy groups of $p$-local spectra $T(m)_{(1)}$ for $m>0$. This is a part of a program to compute the $p$-components of $\pi_{*}(S^{0})$ through dimension $2p^{4}(p-1)$ for $p>2$. We will refer to the results from the version I freely as if they were in the first four sections of this paper, which begins with section 5.

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