Titlebook: Homotopy Limits, Completions and Localizations; Aldridge K. Bousfield,Daniel M. Kan Book 1972 Springer-Verlag Berlin Heidelberg 1972 Finit

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Homotopy direct limitsIn this chapter we discuss .. Our account will be brief as many of the results in this chapter are . to results in Chapter XI. Also, a construction similar to the homotopy direct limit was given by [Segal].

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Erratum to: The R-completion of a spaceIn this chapter we define, for every space X and (commutative) ring R, a functorial . of X and prove some of its basic properties. We also show that there is a corresponding notion of ..

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Erratum to: p-completions of nilpotent spacesugh they differ for more general spaces. The basic properties of p-profinite completions are well-known for ., and the main purpose of this chapter is to obtain similar results for p-completions of arbitrary . spaces.

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0075-8434 t 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 aut

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Book 1972 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

Paraplegia

0075-8434 hors 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.978-3-540-06105-2978-3-540-38117-4Series ISSN 0075-8434 Series E-ISSN 1617-9692