The Convergence of a Family in Stable Homotopy of Spheres

XIE Shou-bo

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The Convergence of a Family in Stable Homotopy of Spheres

更新时间：2026-07-10

- The Convergence of a Family in Stable Homotopy of Spheres
- Vol. 15, Issue 3, Pages: 71-72(2010)
- 作者机构：
  
  齐齐哈尔大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O189.23
- Published：2010
- 稿件说明：
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XIE Shou-bo. The Convergence of a Family in Stable Homotopy of Spheres[J]. 2010, 15(3): 71-72.
DOI：

XIE Shou-bo. The Convergence of a Family in Stable Homotopy of Spheres[J]. 2010, 15(3): 71-72. DOI：

摘要

以Adams谱序列、May谱序列、上纤维序列及低维的Ext群为基础

具体地计算了Ext群中的某些元的第一阶数与第二阶数

并由此得出h0b21∈Ext5A

2p2q+qV(2)在Adams谱序列中收敛到π*V(2)中的非零元

并且得出π*S中的非零元

其在Ext群中的表示为h0b21γs∈ExtA5+s

*(Zp

Zp)

其中p≥7的奇数

S是奇素数p球谱

A是Steenrod代数.

Abstract

This paper calculates first degrees and second degrees of elements in Ext group by using Adams spectral sequences and May spectral sequences

and proves that h0b21 ∈Ext5

2p2q+qA V(2) converges to nontrivial elements of π*V(2) and h0b21 γs∈Exts+5

*A (Zp

Zp)

a representive

converges to nontrivial elements in stable homotopy of sphere

where p≥7

S is an odd prime p sphere spectrum

and A is Steerod algebra.

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