Overview
- Authors:
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Aldridge K. Bousfield
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Department of Mathematics, University of Illinois, Chicago, USA
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Daniel M. Kan
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Massachusetts Institute of Technology, Cambridge, USA
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Table of contents (15 chapters)
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Completions and localizations
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 10-47
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 48-69
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 70-98
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 99-125
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 126-162
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 163-201
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 202-223
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Towers of fibrations, cosimplicial spaces and homotopy limits
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Front Matter
Pages 224-227
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 228-248
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 249-264
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 265-286
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 287-324
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 325-340
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Errata
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 349-349
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 349-349
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- Aldridge K. Bousfield, Daniel M. Kan
Pages 349-349
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Back Matter
Pages 341-348
About this book
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.
Authors and Affiliations
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Department of Mathematics, University of Illinois, Chicago, USA
Aldridge K. Bousfield
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Massachusetts Institute of Technology, Cambridge, USA
Daniel M. Kan