Abstract
In this chapter we introduce, for any solid (Ch.I, 4.5) ring R, an Artin-Mazur-like R-completion of groups and show that it can be used to construct, up to homotopy, the R-completion of spaces. The theoretical basis for this is in Chapter III, where we developed a flexible “tower lemma” approach to R-completions.
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© 1972 Springer-Verlag Berlin Heidelberg
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Bousfield, A.K., Kan, D.M. (1972). An R-completion of groups and its relation to the R-completion of 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_4
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DOI: https://doi.org/10.1007/978-3-540-38117-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06105-2
Online ISBN: 978-3-540-38117-4
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