3 options
Homotopy Limits, Completions and Localizations / by Aldridge K. Bousfield, Daniel M. Kan.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Bousfield, Aldridge K., author.
- Kan, Daniel M., author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 304.
- Lecture Notes in Mathematics, 0075-8434 ; 304
- Language:
- English
- Subjects (All):
- Topology.
- Algebraic topology.
- Algebraic Topology.
- Local Subjects:
- Topology.
- Algebraic Topology.
- Physical Description:
- 1 online resource (VIII, 352 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1972.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540381174
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.