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Homotopy Limits, Completions and Localizations by A. K. Bousfield, D. M. Kan - Paperback
203.70 AED

Homotopy Limits, Completions and Localizations by A. K. Bousfield, D. M. Kan - Paperback

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Category Type
Mathematics
ISBN
9783540061052
Author
A. K. Bousfield, D. M. Kan
Publisher
Springer
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 ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783540061052
    Languages
    English
    Item EAN
    2724436330927
    People
    Author
    A. K. Bousfield, D. M. Kan
    Category Type
    Mathematics
    ISBN
    9783540061052
    Languages
    English
    Item EAN
    2724436330927
    People
    Author
    A. K. Bousfield, D. M. Kan
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
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  •  

    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

    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.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): A. K. Bousfield, D. M. Kan
    • Publisher: Springer
    • ISBN: 9783540061052
    • Number of Pages: 352
    • Dimensions: 9.61 x 6.69 x 0.74 inches
 

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