{
  "id": "1304.3784",
  "version": "v3",
  "published": "2013-04-13T07:15:31.000Z",
  "updated": "2014-12-13T06:45:03.000Z",
  "title": "Homotopy invariance of higher K-theory for abelian categories",
  "authors": [
    "Satoshi Mochizuki",
    "Akiyoshi Sannai"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1104.4240",
  "categories": [
    "math.AG",
    "math.AC",
    "math.AT",
    "math.CT",
    "math.KT"
  ],
  "abstract": "The main theorem in this paper is that the base change functor from a noetherian abelian category to its noetherian polynomial category induces an isomorphism on K-theory. The main theorem implies the well-known fact that A^1-homotopy invariance of K'-theory for noetherian schemes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-29T01:49:46.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-13T06:45:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy invariance",
      "higher k-theory",
      "noetherian polynomial category induces",
      "noetherian abelian category",
      "base change functor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.3784M"
    }
  }
}