JournalsprimsVol. 29, No. 3pp. 397–409

Phantom Maps and Monoids of Endomorphisms of <i>K</i>(<b><i>Z</i></b>,<i>m</i>) x <i>S<sup>n</sup></i>

  • Yoshimi Shitanda

    Kyushu University, Fukuoka, Japan
Phantom Maps and Monoids of Endomorphisms of <i>K</i>(<b><i>Z</i></b>,<i>m</i>) x <i>S<sup>n</sup></i> cover
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Abstract

The compositions hf, hg of phantom pair f, g and a phantom map h are homotopic. The compositions hf, kf of phantom pair h, k and a phantom map f are homotopic. We determine the homotopy set [K(Z,m) x Sn, K(Z,m) x Sn] and its monoid structure given by the composition of maps for all m, n ≥ 1.

Cite this article

Yoshimi Shitanda, Phantom Maps and Monoids of Endomorphisms of <i>K</i>(<b><i>Z</i></b>,<i>m</i>) x <i>S<sup>n</sup></i>. Publ. Res. Inst. Math. Sci. 29 (1993), no. 3, pp. 397–409

DOI 10.2977/PRIMS/1195167049