Homotopy limits, completions and localizations (Record no. 2433)

000 -LEADER
fixed length control field 01657nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240830114850.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190302b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540061052
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Bousfield, A. K.
245 ## - TITLE STATEMENT
Title Homotopy limits, completions and localizations
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. USA:
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c1987]
300 ## - Physical Description
Pages: 348 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note I Completions and localizations<br/>1. The R-completion of a space<br/>2. Fibre lemmas<br/>3. Tower lemmas<br/>4. An R-completion of groups and its relation to the R-completion of spaces<br/>5. R-localizations of nilpotent spaces<br/>6. p-completions of nilpotent spaces<br/>7. A glimpse at the R-completion of non-nilpotent spaces<br/><br/>II Towers of fibrations, cosimplicial spaces and homotopy limits<br/>8. Simplicial sets and topological spaces<br/>9. Towers of fibrations<br/>10. Cosimplicial spaces<br/>11. Homotopy inverse limits<br/>12. Homotopy direct limits<br/>
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.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Kan, D. M.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 03/02/2019 QA3 01770 Book