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Homotopy Limits, Completions and Localizations (Lecture Notes in Mathematics : Vol. 304) - Softcover
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.
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- PublisherSpringer Verlag
- Publication date1987
- ISBN 10 0387061053
- ISBN 13 9780387061054
- BindingPaperback
- Edition number1
- Number of pages348
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HOMOTOPY LIMITS, COMPLETIONS AND
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Springer Verlag
(1987)
ISBN 10: 0387061053
ISBN 13: 9780387061054
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