Geodesic
Colocalizations and their realizations as spectra
Theory and applications of categories, Tome 10 (2002), pp. 162-179 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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Every chain functor $A_*$, admits a $L$-colocalization $A^L_*$ which (in contrast to the case of $L$-localizations) 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 is retrieved as a special case of a general colocalization process for chain functors.

Classification : Primary: 55P60, 55N20, Secondary: 55U30, 55P42.
Keywords: Colocalizations, chain functors, realizations of chain functors as spectra. 
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     author = {Friedrich W. Bauer},
     title = {Colocalizations and their realizations as spectra},
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     year = {2002},
     volume = {10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a7/}
}
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Friedrich W. Bauer. Colocalizations and their realizations as spectra. Theory and applications of categories, Tome 10 (2002), pp. 162-179. http://geodesic.mathdoc.fr/item/TAC_2002_10_a7/