In the paper "Symmetric spectra"by Hovey, Smith and Shipley, they say that they don't know if the monoid axiom holds for topological symmetric spectra. This paper was written in 1998 so I am wondering what is the situation on this question today.



Does the category of topological symmetric spectra satisfy the monoid axiom ?
The monoid axiom for symmetric and orthogonal spectra of spaces is
Proposition 12.5 of Mandell, May, Schwede, and Shipley's paper
``Model categories of diagram spectra''.


