Colocalizations and Their Realizations as Spectra

نویسندگان

  • FRIEDRICH W. BAUER
  • A. K. Bousfield
چکیده

Every chain functor A∗ (cf. appendix B below or [2] §4), admits a Lcolocalization (corollary 1.3., L a subcategory of the category on which A∗ is defined) AL∗ which (in contrast to the case of L-localizations, cf. [3]) in general does not allow a realization as a spectrum (even if A∗ stems from a spectrum itself). The [E, ]∗colocalization of A. K. Bousfield [6] is retrieved as a special case of a general colocalization process for chain functors.

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تاریخ انتشار 2002