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首页|Adams 谱序列中乘积元素$widetilde{delta}_{s+4}widetilde l_{1}g_{0}$的收敛性

Adams 谱序列中乘积元素$widetilde{delta}_{s+4}widetilde l_{1}g_{0}$的收敛性

俞海波 赵浩

Adams 谱序列中乘积元素$widetilde{delta}_{s+4}widetilde l_{1}g_{0}$的收敛性

On Convergence of the Product $widetilde{delta}_{s+4}widetilde l_{1}g_{0}$ in the Adams Spectral Squences

俞海波 赵浩

作者信息

摘要

本文将证明Adams 谱序列中${ mExt}_{mathcal{A}}^{s+9,t+s}(mathbb{Z}/p,mathbb{Z}/p)$的乘积元素$widetilde{delta}_{s+4}widetilde l_{1}g_{0}$的收敛性,其中$0leq sleq p-5$, $t=(s+3+(s+5)p+(s+4)p^{2}+(s+4)p^{3})q$, $q=2(p-1)$.

Abstract

Abstract. In this paper we verifythe convergence of the product $widetilde{delta}_{s+4}widetilde l_{1}g_{0}in { mExt}_{mathcal{A}}^{s+9,t+s}(mathbb{Z}/p,mathbb{Z}/p)$ in theAdams spectral sequences, where $pgeq 11$,$0leq sleq p-5$, and $t=(s+3+(s+5)p+(s+4)p^{2}+(s+4)p^{3})q$, $q=2(p-1)$.

关键词

球面稳定同伦群/Adams 谱序列/May 谱序列

Key words

stable homotopy groups of spheres/Adams spectral sequence/May spectral sequence

引用本文复制引用

俞海波,赵浩.Adams 谱序列中乘积元素$widetilde{delta}_{s+4}widetilde l_{1}g_{0}$的收敛性[EB/OL].(2017-05-04)[2025-12-13].http://www.paper.edu.cn/releasepaper/content/201705-309.

学科分类

数学

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