Homotopy Limits, Completions and Localizations (Lecture Notes in Mathematics)

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9783540061052: Homotopy Limits, Completions and Localizations (Lecture Notes in Mathematics)

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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Book Description Springer. Paperback. Book Condition: New. 352 pages. Dimensions: 9.1in. x 6.1in. x 0.9in.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 RZp 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783540061052

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Book Description Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 1987. Paperback. Book Condition: New. 1st ed. 1972. 2nd printing 1987. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9783540061052

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