The homotopy groups π*(L2S0) at the prime 3

被引：22

作者：

Shimomura, K ^{[1
]}

Wang, XJ

机构：

[1] Kochi Univ, Fac Sci, Dept Math, Kochi 7808520, Japan

[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

来源：

TOPOLOGY | 2002年 / 41卷 / 06期

关键词：

homotopy groups of spheres; Bousfield localization; Johnson-Wilson spectrum; Adams-Novikov spectral sequence;

D O I：

10.1016/S0040-9383(01)00033-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The homotopy groups pi(*)(L2S0) of the L-2-localized sphere are determined by studying the Bockstein spectral sequence. The results also indicate the homotopy groups pi(*)(LK(2)S0) and we observe that the fiber of the localization map L2S30 --> LK(2)S0 is homotopic to Sigma(-2)L(1)S(3)(0). Here S denotes the 3-completed sphere. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1183 / 1198

页数：16

共 9 条

[1]

Hovey M, 1995, The ech centennial: A conference on homotopy theory, June 22-26, 1993, Northeastern University, V181, P225

[2] PERIODIC PHENOMENA IN ADAMS-NOVIKOV SPECTRAL SEQUENCE [J].