{
  "id": "1312.2103",
  "version": "v1",
  "published": "2013-12-07T15:45:11.000Z",
  "updated": "2013-12-07T15:45:11.000Z",
  "title": "A memo on chains and their topologies",
  "authors": [
    "Paul Poncet"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We summarize some facts on chains (totally ordered sets), from an order-theoretic and from a topological point of view. We highlight the fact that many classical theorems that are true for partially ordered sets under some completeness assumption remain true for chains without any kind of completeness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-07T15:45:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topologies",
      "completeness assumption remain true",
      "order-theoretic",
      "partially ordered sets",
      "topological point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2103P"
    }
  }
}