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Homotopy Limits, Completions and Localizations

Homotopy Limits, Completions and Localizations

von A. K. Bousfield und D. M. Kan
Softcover - 9783540061052
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Beschreibung

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.

Details

Verlag Springer Berlin
Ersterscheinung 20. Dezember 1972
Maße 23.5 cm x 15.5 cm
Gewicht 610 Gramm
Format Softcover
ISBN-13 9783540061052
Seiten 352

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