Zusammenfassung
Let k be an algebraically closed field of exponential characteristic p. Given any prime l not equal p, we construct a stable etale realization functor Et-l : Spt(k) -> Pro(Spt)(HZ/l) from the stable infinity-category of motivic P-1-spectra over k to the stable infinity-category of (HZ/l)*-local pro-spectra (see section 3 for the definition). This is induced by the kale topological realization ...
Zusammenfassung
Let k be an algebraically closed field of exponential characteristic p. Given any prime l not equal p, we construct a stable etale realization functor Et-l : Spt(k) -> Pro(Spt)(HZ/l) from the stable infinity-category of motivic P-1-spectra over k to the stable infinity-category of (HZ/l)*-local pro-spectra (see section 3 for the definition). This is induced by the kale topological realization functor a la Friedlander. The constant presheaf functor naturally induces the functor SH[1/p] -> SH(k)[1/p], where k and p are as above and SH and SH(k) are the classical and motivic stable homotopy categories, respectively. We use the stable kale realization functor to show that this functor is fully faithful. Furthermore, we conclude with a homotopy theoretic generalization of the kale version of the Suslin-Voevodsky theorem. (C) 2019 Elsevier Inc. All rights reserved.
Altmetric