Idempotent functors and nilpotent spaces

Wojciech Chachólski; Emmanuel Dror Farjoun; Ramón Flores; Jérôme Scherer

doi:10.1007/978-3-319-45441-2_11

Idempotent functors and nilpotent spaces

Wojciech Chachólski^*, Emmanuel Dror Farjoun, Ramón Flores, Jérôme Scherer

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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 zk X whose terms are all X-cellular for any X.

Original language	English
Pages (from-to)	63-67
Number of pages	5
Journal	Trends in Mathematics
Volume	5
DOIs	https://doi.org/10.1007/978-3-319-45441-2_11
State	Published - 2016

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© Springer International Publishing Switzerland 2016.

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10.1007/978-3-319-45441-2_11

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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 zk X whose terms are all X-cellular for any X.",

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AU - Chachólski, Wojciech

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AU - Flores, Ramón

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AB - 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 zk X whose terms are all X-cellular for any X.

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Idempotent functors and nilpotent spaces

Abstract

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