Postnikov pieces and BZ/p-homotopy theory

2004/09/21 by Natalia Castellana, Natàlia Castellana, Castellana, Natalia +5
Mathematics · Physics and Astronomy · #20F18 #55P20 #55P60 #55R35 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR #msc:20F18 #msc:55P20 #msc:55P60 #msc:55R35

paper · pdf · doi:10.48550/arxiv.math/0409399

15 pages

arxiv created 2004/09/21 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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