Homotopy Limits, Completions and Localizations
Description
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.
Keywords
MathematicsAlgebraAbstractGeometryTopology
1972Book
Author(s)A. K. Bousfield, D. M. Kan
PublisherSpringer Science & Business Media
ISBN9783540061052
LanguageEnglish
