{ "id": "1806.10892", "version": "v1", "published": "2018-06-28T11:39:52.000Z", "updated": "2018-06-28T11:39:52.000Z", "title": "The Method of Infinite Descent in Stable Homotopy Theory II", "authors": [ "Hirofumi Nakai", "Douglas C. Ravenel" ], "comment": "32 pages, 3 figures", "categories": [ "math.AT" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2018-06-28T11:39:52.000Z" } ], "analyses": { "subjects": [ "55P42", "55Q10" ], "keywords": [ "stable homotopy theory", "infinite descent", "local spectra", "stable homotopy groups", "second author" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }