An R-completion of groups and its relation to the R-completion of spaces
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.
KeywordsSimplicial Group Spectral Sequence Homotopy Type Inverse Limit Central Series
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