Hidden Bibliographic Details
Other authors / contributors: | Kan, D. M. (Daniel Marinus)
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ISBN: | 9783540381174 3540381171 9783540061052 3540061053 9780387061054 0387061053
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Notes: | Includes bibliographical references (pages 341-344). Print version record.
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Summary: | The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. In part II of these notes, the authors have assembled some results on towers of fibrations, cosimplicial spaces and homotopy limits which were needed in the discussions of part I, but which are of some interest in themselves.
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Other form: | Print version: Homotopy limits, completions and localizations. Berlin, New York, Springer-Verlag, 1972 0387061053
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