Postnikov pieces and BZ/p-homotopy theory

Details Postnikov pieces and BZ/p-homotopy theory Postnikov pieces and BZ/p-homotopy theory

2004-09-21

arxiv.org/abs/math/0409399v1

Mathematics

Algebraic Topology

15 pages

Scientific paper

We present a constructive method to compute the cellularization with respect to K(Z/p, m) for any integer m > 0 of a large class of H-spaces, namely all those which have a finite number of non-trivial K(Z/p, m)-homotopy groups (the pointed mapping space map(K(Z/p, m), X) is a Postnikov piece). We prove in particular that the K(Z/p, m)-cellularization of an H-space having a finite number of K(Z/p, m)-homotopy groups is a p-torsion Postnikov piece. Along the way we characterize the BZ/p^r-cellular classifying spaces of nilpotent groups.

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