Corrigendum to “Homotopy theory of modules over operads in symmetric spectra”

Abstract

It is well known that the cofibrations in S , equipped with the projective model structure, are precisely the monomorphisms such that G acts freely on the simplices of the codomain not in the image. One way to verify this is to (i) argue that the image of such a map is a subcomplex of the codomain (ie the codomain can be built from the image by attaching G–cells), and (ii) note that every monomorphism is isomorphic to its image, hence verifying that such maps are cofibrations, (iii) conversely, to note that every generating cofibration is such a map, and (iv) hence conclude that every cofibration is such a map, by using the fact that every cofibration is a retract of a (possibly transfinite) composition of pushouts of the generating cofibrations. The problem with our argument for the cofibration description in [2, Proposition 6.3] was a cavalier application of the subcomplex argument (i) above; we ignored the fact that