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Lecture Notes in Mathematics

Homotopy Limits, Completions and Localizations

Authors: Bousfield, A. K., Kan, D. M.

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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.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-3-540-38117-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $46.00
price for USA in USD
  • ISBN 978-3-540-06105-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Homotopy Limits, Completions and Localizations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
304
Copyright
1972
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-38117-4
DOI
10.1007/978-3-540-38117-4
Softcover ISBN
978-3-540-06105-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 352
Topics