JournalsprimsVol. 32, No. 3pp. 383–399

Cancellation and Non Cancellation Phenomena for Infinite Complexes

  • Yoshimi Shitanda

    Kyushu University, Fukuoka, Japan
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Abstract

Let L(I, J) be defined by the pull-back of CP_∞l → K(+Q_, 2) ← _Ω SJ_3 where {I, J} is a partition of all primes. We classify spaces {Ωk Σk C(f)} of loop-suspension of mapping cone of phantom map f:L(l, J) → _S_3 for k = 0, 1, ⋯, ∞ which have the same n-type for all n. In the category of finite CW-complexes, cancellation and non cancellation phenomena are well studied. In the category of infinite CW-complexes, the phenomena are less known. We study cancellation and non cancellation phenomena for infinite dimensional complexes by using above spaces.

Cite this article

Yoshimi Shitanda, Cancellation and Non Cancellation Phenomena for Infinite Complexes. Publ. Res. Inst. Math. Sci. 32 (1996), no. 3, pp. 383–399

DOI 10.2977/PRIMS/1195162848