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Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem

Zargar, Masoud



Abstract

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 ...

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