nLab Homotopy Limits, Completions and Localizations

This page is to record the reference:

• Daniel M. Kan and Aldridge K. Bousfield:

  
  

  Homotopy Limits, Completions and Localizations

  
  

  Lecture Notes in Mathematics 304

  Springer (1972; 1987)

  doi:10.1007/978-3-540-38117-4

  ISBN 3-540-06105-3, 0-387-06105-3

introducing the notions of localizations of spaces and completions of spaces, as well as of homotopy limits and homotopy colimits.

Related concepts

• nilpotent topological space

• localization of spaces, rationalization

• completion of spaces

• homotopy limit

• homotopy colimit

category: reference