Homotopy limits, completions and localizations /

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Bibliographic Details
Author / Creator:Bousfield, A. K., 1941-
Imprint:Berlin ; New York : Springer-Verlag, 1972.
Description:1 online resource (v, 348 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 304
Lecture notes in mathematics (Springer-Verlag) ; 304.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070588
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Other authors / contributors:Kan, D. M. (Daniel Marinus)
ISBN:9783540381174
3540381171
9783540061052
3540061053
9780387061054
0387061053
Notes:Includes bibliographical references (pages 341-344).
Print version record.
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.
Other form:Print version: Homotopy limits, completions and localizations. Berlin, New York, Springer-Verlag, 1972 0387061053