{
  "id": "2010.15681",
  "version": "v1",
  "published": "2020-10-28T16:14:39.000Z",
  "updated": "2020-10-28T16:14:39.000Z",
  "title": "Some algebraic and topological properties of subspaces of (pre)orders",
  "authors": [
    "Julie Decaup"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1912.03928",
  "categories": [
    "math.GR",
    "math.AC"
  ],
  "abstract": "We study algebraic and topological properties of subsets of preorders on a group. In particular we study properties of the composition of two preorders, generalize a topological theorem of \\cite{S} in the case of standard orders and show the same theorem in the case of standard preorders. We also show a property of standard valuations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-28T16:14:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A05",
      "06F05",
      "06F15",
      "12J20",
      "13A18",
      "20F60",
      "20M10",
      "54E45"
    ],
    "keywords": [
      "topological properties",
      "study properties",
      "study algebraic",
      "standard preorders",
      "standard orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}