Homotopy Limits, Completions and Localizations (Record no. 29968)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02819nam a22004575i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540381174 |
| -- | 978-3-540-38117-4 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Bousfield, Aldridge K. |
| 245 10 - TITLE STATEMENT | |
| Title | Homotopy Limits, Completions and Localizations |
| Statement of responsibility, etc | by Aldridge K. Bousfield, Daniel M. Kan. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg, |
| Year of publication | 1972. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | VIII, 352 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics, general. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kan, Daniel M. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-540-38117-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 1972. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK674 | http://dx.doi.org/10.1007/978-3-540-38117-4 | E-BOOKS |