Title: Postnikov pieces and BZ/p-homotopy theory
Authors: Natalia Castellana, Juan A. Crespo, Jerome Scherer
email: natalia@mat.uab.es, JuanAlfonso.Crespo@uab.es,
jscherer@mat.uab.es
AMS classification number: 55R35; 55P60, 55P20, 20F18
ArXiv submission number: math.AT/0409399
Abstract: 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.