{
  "id": "1201.0279",
  "version": "v2",
  "published": "2011-12-31T16:04:09.000Z",
  "updated": "2013-03-07T19:24:25.000Z",
  "title": "Convergence of Voevodsky's slice tower",
  "authors": [
    "Marc Levine"
  ],
  "comment": "revised version. Arguments simplified, bounds are improved and made explicit, some technical hypotheses removed. An appendix on inverting integers in triangulated categories is added",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "We consider Voevodsky's slice tower for a finite spectrum E in the motivic stable homotopy category over a perfect field k. In case k has finite cohomological dimension (in characteristic two, we also require that k is infinite), we show that the slice tower converges, in that the induced filtration on the bi-graded homotopy sheaves for each term in the tower for E is finite, exhaustive and separated at each stalk. This partially verifies a conjecture of Voevodsky.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-07T19:24:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E15",
      "19E08",
      "14F42",
      "55P42"
    ],
    "keywords": [
      "voevodskys slice tower",
      "convergence",
      "motivic stable homotopy category",
      "slice tower converges",
      "perfect field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.0279L"
    }
  }
}