nLab Homotopy Limits, Completions and Localizations

A seminal book:

• Daniel M. Kan and Aldridge K. Bousfield:

  Homotopy Limits, Completions and Localizations

  Lecture Notes in Mathematics 304 (1972; 1987), Springer.

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

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

introducing localization of spaces and completion of spaces, as well as homotopy limits and homotopy colimits.

Related concepts

• localization of spaces, rationalization

• completion of spaces

• homotopy limit

• homotopy colimit

category: reference