Abstract
In this chapter we discuss the p-completion, i.e. the “up to homotopy” version of the Zp-completion, for nilpotent spaces. It turns out that this p-completion is closely related to the p-profinite completion of [Quillen (PG)] and [Sullivan, Ch.3]; indeed, one can show that these completions coincide for spaces with Zp-homology of finite type, although they differ for more general spaces. The basic properties of p-profinite completions are well-known for simply connected spaces of finite type, and the main purpose of this chapter is to obtain similar results for p-completions of arbitrary nilpotent spaces.
The online version of the original chapter can be found at http://dx.doi.org/10.1007/978-3-540-38117-4_6
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© 1972 Springer-Verlag Berlin Heidelberg
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Bousfield, A.K., Kan, D.M. (1972). Erratum to: p-completions of nilpotent spaces. In: Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38117-4_15
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DOI: https://doi.org/10.1007/978-3-540-38117-4_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06105-2
Online ISBN: 978-3-540-38117-4
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