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arxiv: 1705.01635 · v3 · pith:3QXKEXRFnew · submitted 2017-05-03 · 🧮 math.AT · math.AG· math.KT

Reconstructing rational stable motivic homotopy theory

classification 🧮 math.AT math.AGmath.KT
keywords rationalhomotopymotivicstabletheoremtheoryananyevskiy-levine-panincalmes-fasel
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Using a recent computation of the rational minus part of $SH(k)$ by Ananyevskiy-Levine-Panin, a theorem of Cisinski-Deglise and a version of the Roendigs-Ostvaer theorem, rational stable motivic homotopy theory over an infinite perfect field of characteristic different from 2 is recovered in this paper from finite Milnor-Witt correspondences in the sense of Calmes-Fasel.

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