This paper is concerned with importing the stable homotopy theory of symmetric spectra [4] and more generally presheaves of symmetric spectra [8] into the MorelVoevodsky stable category [9], [11], [12]. Loosely speaking, the latter is the result of formally inverting the functor X 7→ T ∧X on the category of pointed simplicial presheaves on the smooth Nisnevich site of a field within the Morel-Voevodsky Alocal homotopy theory, where T is defined to be the quotient of schemes A/(A−0). The Morel… CONTINUE READING

Nisnevich, The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory, Algebraic K-Theory: Connections with Geometry and Topology