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arXiv · 1007.3153

Enriched Simplicial Presheaves and the Motivic Homotopy Category

Philip Herrmann·Florian Strunk
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Abstract

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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Philip Herrmann, Florian Strunk. 2010-07-19. Enriched Simplicial Presheaves and the Motivic Homotopy Category. https://arxiv.org/abs/1007.3153

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