Homotopy Limits, Completions and Localizations, 9783540061052
Paperback
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. 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, b…

Homotopy Limits, Completions and Localizations

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  • Paperback

    352 pages

  • Release Date

    19 December 1972

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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,…

Book Details

ISBN-13:9783540061052
ISBN-10:3540061053
Series:Lecture Notes in Mathematics
Author:A.K. Bousfield, D.M. Kan
Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Format:Paperback
Number of Pages:352
Edition:1st
Release Date:19 December 1972
Weight:616g
Dimensions:28mm x 245mm x 170mm

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