The localization of spectra with respect to homology

  title={The localization of spectra with respect to homology},
  author={Aldridge Knight Bousfield},
IN [8] WE studied localizations of spaces with respect to homology, and we now develop the analogous stable theory. Let Ho” denote the stable homotopy category of CW-spectra. We show that each spectrum E E Ho” gives rise to a natural E*localization functor ( )E: Ho” -+HoS and n : 1 +( )E. For A E Ho”, v:A-+AE is the terminal example of an E*-equivalence going out of A in Ho”. After proving the existence of ES-localizations, we develop their basic properties and discuss in detail the cases where… Expand
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