Articles liés à Homotopy Limits, Completions and Localizations

Homotopy Limits, Completions and Localizations - Couverture souple

Bousfield, A. K.

 
9783540061052: Homotopy Limits, Completions and Localizations

Synopsis

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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Autres éditions populaires du même titre

9780387061054: Homotopy Limits, Completions and Localizations

Edition présentée

ISBN 10 :  0387061053 ISBN 13 :  9780387061054
Couverture souple