Homotopy Limits Completions and Localizations

Author: Hagendorf, Col
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BISAC Categories:
Topology | General |
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.

Publisher Name Springer
Author Name Hagendorf, Col
Format Audio
Bisac Subject Major MAT
Language NG
Isbn 10 3540061053
Isbn 13 9783540061052
Target Age Group min:NA, max:NA
Series 000013117304
Dimensions 00.96" H x 10.06" L x 69.00" W
Page Count 352

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