Enriched Simplicial Presheaves and the Motivic Homotopy Category
classification
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math.AT
keywords
homotopycategorymotivicsimplicialaffineconstructenrichedfield
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We construct models for the motivic homotopy category based on simplicial functors from smooth schemes over a field to simplicial sets. These spaces are homotopy invariant and therefore one does not have to invert the affine line in order to get a model for the motivic homotopy category.
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