{
  "id": "1408.2881",
  "version": "v1",
  "published": "2014-08-12T23:45:33.000Z",
  "updated": "2014-08-12T23:45:33.000Z",
  "title": "Infinite subsets of random sets of integers",
  "authors": [
    "Bjørn Kjos-Hanssen"
  ],
  "journal": "Mathematical Research Letters 16 (2009), no. 1, 103--110",
  "doi": "10.4310/MRL.2009.v16.n1.a10",
  "categories": [
    "math.LO"
  ],
  "abstract": "There is an infinite subset of a Martin-L\\\"of random set of integers that does not compute any Martin-L\\\"of random set of integers. To prove this, we show that each real of positive effective Hausdorff dimension computes an infinite subset of a Martin-L\\\"of random set of integers, and apply a result of Miller.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-12T23:45:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random set",
      "infinite subset",
      "positive effective hausdorff dimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.2881K"
    }
  }
}