{
  "id": "1007.3153",
  "version": "v1",
  "published": "2010-07-19T14:07:11.000Z",
  "updated": "2010-07-19T14:07:11.000Z",
  "title": "Enriched Simplicial Presheaves and the Motivic Homotopy Category",
  "authors": [
    "Philip Herrmann",
    "Florian Strunk"
  ],
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-19T14:07:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "motivic homotopy category",
      "enriched simplicial presheaves",
      "affine line",
      "construct models",
      "simplicial functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3153H"
    }
  }
}