Homotopy Limits, Completions and Localizations

ISBN-13: 9783540061052 / Angielski / Miękka / 1972 / 352 str.

A. K. Bousfield; D. M. Kan

Opis

Helps to develop for a ring R a functional notion of R-completion of a space X. This title assembles results on towers of fibrations, cosimplicial spaces and homotopy limits.

Spis treści

Completions and localizations.- The R-completion of a space.- Fibre lemmas.- Tower lemmas.- 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.- Cosimplicial spaces.- Homotopy inverse limits.- Homotopy direct limits.- Errata.- Erratum to: The R-completion of a space.- Erratum to: Tower lemmas.- Erratum to: p-completions of nilpotent spaces.