{
  "id": "2211.15027",
  "version": "v1",
  "published": "2022-11-28T03:21:21.000Z",
  "updated": "2022-11-28T03:21:21.000Z",
  "title": "On sobriety of Scott topology on dcpos",
  "authors": [
    "Xiaoquan Xu"
  ],
  "comment": "20 pages, 3 figures",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we mainly investigate the conditions under which the Scott topology on the product of two posets is equal to the product of the individual Scott topologies and under which the Scott topology on a dcpo is sober. Some such conditions are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-28T03:21:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D99",
      "54B20",
      "06B30",
      "06B35"
    ],
    "keywords": [
      "scott topology",
      "individual scott topologies",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}