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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Homotopy Limits, Completions and Localizations

Homotopy Limits, Completions and Localizations

Bousfield, A. K.
Kan, D. M.

Paperback

Series: Lecture Notes in Mathematics, Book 304

General Mathematics

ISBN10: 3540061053
ISBN13: 9783540061052
Publisher: Springer Nature
Published: Dec 20 1972
Pages: 352
Weight: 1.25
Height: 0.74 Width: 6.69 Depth: 9.61
Language: English
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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