{
  "id": "1809.05543",
  "version": "v1",
  "published": "2018-09-14T18:02:12.000Z",
  "updated": "2018-09-14T18:02:12.000Z",
  "title": "Arithmetic of (independent) sigma-fields on probability spaces",
  "authors": [
    "Matija Vidmar"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "This note gathers what is known about, and provides some new results concerning the operations of intersection, of \"generated $\\sigma$-field\", and of \"complementation\" for (independent) complete $\\sigma$-fields on probability spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-14T18:02:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60A10",
      "60A05"
    ],
    "keywords": [
      "probability spaces",
      "independent",
      "arithmetic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}