Postnikov pieces and BZ/p-homotopy theory
Algebraic Topology
2007-05-23 v1 Group Theory
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.
Cite
@article{arxiv.math/0409399,
title = {Postnikov pieces and BZ/p-homotopy theory},
author = {Natalia Castellana and Juan A. Crespo and Jerome Scherer},
journal= {arXiv preprint arXiv:math/0409399},
year = {2007}
}
Comments
15 pages