Homotopy Limits, Completions and Localizations (Google eBook)

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Springer Science & Business Media, May 1, 1987 - Mathematics - 348 pages
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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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Contents

Part II Towers of fibrations cosimplicial spaces andhomotopy limits
224
Bibliography
341
Index
345
Errata
349
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