{
  "id": "0805.1529",
  "version": "v1",
  "published": "2008-05-12T18:24:51.000Z",
  "updated": "2008-05-12T18:24:51.000Z",
  "title": "Homotopy theory of presheaves of Gamma-spaces",
  "authors": [
    "Håkon S. Bergsaker"
  ],
  "comment": "33 pages, LaTeX",
  "categories": [
    "math.AT"
  ],
  "abstract": "We consider the category of presheaves of Gamma-spaces, or equivalently, of Gamma-objects in simplicial presheaves. Our main result is the construction of stable model structures on this category parametrised by local model structures on simplicial presheaves. If a local model structure on simplicial presheaves is monoidal, the corresponding stable model structure on presheaves of Gamma-spaces is monoidal and satisfies the monoid axiom. This allows us to lift the stable model structures to categories of algebras and modules over commutative algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-12T18:24:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P47",
      "55P42",
      "55P43",
      "55P48"
    ],
    "keywords": [
      "homotopy theory",
      "gamma-spaces",
      "local model structure",
      "simplicial presheaves",
      "monoid axiom"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1529B"
    }
  }
}