Presheaves of symmetric spectra
نویسنده
چکیده
The main theorem of [4] say that there is a proper closed simplicial model category structure on the category Spt of symmetric spectra, and that the associated homotopy category Ho(Spt) is equivalent to the stable category. This paper shows how to generalize this result to the category PreSpt(C) of presheaves of symmetric spectra on an arbitrary small Grothendieck site C. The reader will observe that the fundamental new ideas from [4] (injective objects, stable equivalences and stable fibrations for symmetric spectra) have natural analogs in the presheaf context, and the gross outline of proof coincides with that given here, up to reordering. Techniques from [2] are used in this paper to prove factorization results.
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