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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| Những tác giả chính: | , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Loạt: | Lecture notes in mathematics
304 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
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| 082 | |a 510/.8 s | ||
| 082 | |a 510 | ||
| 082 | |a 510.8 | ||
| 084 | |a 18A30. 1991 | ||
| 084 | |a 55-02. 1991 | ||
| 100 | 1 | |a Bousfield, Aldridge Knight, |d 1941- | |
| 245 | 1 | 0 | |a Homotopy limits, completions and localizations |c A. K. Bousfield, D. M. Kan. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 304 |x 1617-9692 | |
| 500 | |a Errata p. [349] de l'édition imprimée | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Algèbre homologique | ||
| 650 | |a Théorie de la localisation | ||
| 650 | |a Mathématiques | ||
| 700 | 1 | |a Kan, Daniel, |d 1927-2013. |4 aut | |
| 776 | 0 | |t Homotopy Limits, Completions and Localizations |b Texte imprimé |z 9783540061052 | |
| 776 | 0 | |t Homotopy Limits, Completions and Localizations |b Texte imprimé |z 9783662199114 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-38117-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-KJ7PV934-7 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750673311 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-540-38117-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754021963 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-540-38117-4 |z Accès INSA CVL | |
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