JournalsprimsVol. 30, No. 1pp. 139–150

Existence of the Greek Letter Elements in the Stable Homotopy Groups of <i>E</i>(<i>n</i>)<sub>*</sub>-Localized Spheres

  • Katsumi Shimomura

    Kochi University, Japan
  • Masaaki Yokotani

    Okayama University, Japan
Existence of the Greek Letter Elements in the Stable Homotopy Groups of <i>E</i>(<i>n</i>)<sub>*</sub>-Localized Spheres cover
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Abstract

Let _E_2*.*(X) denote the _E_2-term of the Adams-Novikov spectral sequence converging to the homotopy groups of X. We can define the Greek letter elements in _E_2*.*(_Ln_S0) in the same way as those in _E_2*.*(_S_0). We show that these of _E_2*.*(_Ln_S0) are permanent cycles, though we know little for _E_2*.*(_S_0).

Cite this article

Katsumi Shimomura, Masaaki Yokotani, Existence of the Greek Letter Elements in the Stable Homotopy Groups of <i>E</i>(<i>n</i>)<sub>*</sub>-Localized Spheres. Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, pp. 139–150

DOI 10.2977/PRIMS/1195166279