Homotopy limits, completions and localizations
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 rati...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
304 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Errata p. [349] de l'édition imprimée Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homotopy Limits, Completions and Localizations, Texte imprimé, 9783540061052 • Homotopy Limits, Completions and Localizations, Texte imprimé, 9783662199114 |
Indholdsfortegnelse:
- 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.