Enriched Simplicial Presheaves and the Motivic Homotopy Category

Details Enriched Simplicial Presheaves and the Motivic Homotopy Category Enriched Simplicial Presheaves and the Motivic Homotopy Category

2010-07-19

arxiv.org/abs/1007.3153v1

Mathematics

Algebraic Geometry

Scientific paper

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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