Cancellation and Non Cancellation Phenomena for Infinite Complexes
Yoshimi Shitanda
Kyushu University, Fukuoka, Japan

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