{"title":"The Method of Infinite Descent in Stable Homotopy Theory II","authors":"Hirofumi Nakai, D. Ravenel","doi":"10.1090/conm/293/04951","DOIUrl":null,"url":null,"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.","PeriodicalId":8433,"journal":{"name":"arXiv: Algebraic Topology","volume":"114 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/conm/293/04951","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
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.