Homotopy Limits, Completions and Localizations
Lieferbar innerhalb von 2-3 Tagen
BeschreibungThe 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.
InhaltsverzeichnisCompletions and localizations.
The R-completion of a space.
An R-completion of groups and its relation to the R-completion of spaces.
R-localizations of nilpotent spaces.
p-completions of nilpotent spaces.
A glimpse at the R-completion of non-nilpotent spaces.
Towers of fibrations, cosimplicial spaces and homotopy limits.
Simplicial sets and topological spaces.
Towers of fibrations.
Homotopy inverse limits.
Homotopy direct limits.
Erratum to: The R-completion of a space.
Erratum to: Tower lemmas.
Erratum to: p-completions of nilpotent spaces.
Untertitel: 1st ed. 1972. 2nd printing 1987. Book. Sprache: Englisch.
Erscheinungsdatum: Mai 1987
Seitenanzahl: 356 Seiten