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Homotopy limits, completions and localizations

โœ Scribed by A. K. Bousfield


Publisher
Springer-Verlag
Year
1972
Tongue
English
Leaves
353
Series
Lecture notes in mathematics, 304
Edition
1st
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES


Homotopy Limits, Completions and Localiz
โœ Aldridge K. Bousfield, Daniel M. Kan (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1972 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ English

<p>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 r

Homotopy limits, completions and localiz
โœ A. K. Bousfield, D. M. Kan ๐Ÿ“‚ Library ๐Ÿ“… 1972 ๐Ÿ› Springer ๐ŸŒ English

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 rati

Homotopy limit functors on model categor
โœ William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan, Jeffrey H. Smith ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› American Mathematical Society ๐ŸŒ English

The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations. Model categorie