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Titlebook: Homotopy Limits, Completions and Localizations; Aldridge K. Bousfield,Daniel M. Kan Book 1972 Springer-Verlag Berlin Heidelberg 1972 Finit

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https://doi.org/10.1007/978-3-540-38117-4Finite; Homotopy; fibrations; function
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978-3-540-06105-2Springer-Verlag Berlin Heidelberg 1972
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Tower lemmasIn this chapter we establish the following simple and useful sufficient conditions on a tower of fibrations {Y.}, in order that it can be used to obtain the homotopy type of the R-completion of a given space X:
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An R-completion of groups and its relation to the R-completion of spacesIn this chapter we introduce, for any solid (Ch.I, 4.5) ring R, an Artin-Mazur-like . and show that it can be used to construct, up to homotopy, the .. The theoretical basis for this is in Chapter III, where we developed a flexible “tower lemma” approach to R-completions.
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