Abstract
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages and, in particular, classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield–Kan homology completion tower \(z_k X\) whose terms are all X-cellular for any X.
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Chachólski, W., Farjoun, E.D., Flores, R., Scherer, J. (2016). Idempotent Functors and Nilpotent Spaces. In: Herbera, D., Pitsch, W., Zarzuela, S. (eds) Extended Abstracts Spring 2015. Trends in Mathematics(), vol 5. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-45441-2_11
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DOI: https://doi.org/10.1007/978-3-319-45441-2_11
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