Title of article :
The homotopy groups π∗(L2S0) at the prime 3
Author/Authors :
Shimomura، نويسنده , , Katsumi and Wang، نويسنده , , Xiangjun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
The homotopy groups π∗(L2S0) of the L2-localized sphere are determined by studying the Bockstein spectral sequence. The results also indicate the homotopy groups π∗(LK(2)S0) and we observe that the fiber of the localization map L2S30→LK(2)S0 is homotopic to Σ−2L1S30. Here S30 denotes the 3-completed sphere.
Keywords :
Bousfield localization , Johnson–Wilson spectrum , Adams–Novikov spectral sequence , Homotopy groups of spheres
