{
  "id": "1211.6284",
  "version": "v1",
  "published": "2012-11-27T12:29:53.000Z",
  "updated": "2012-11-27T12:29:53.000Z",
  "title": "Sierpiński rank of the Symmetric inverse semigroup",
  "authors": [
    "James T. Hyde",
    "Yann Péresse"
  ],
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "We show that every countable set of partial bijections from an infinite set to itself can be obtained as a composition of just two such partial bijections. This strengthens a result by Higgins, Howie, Mitchell and Ru\\v{s}kuc stating that every such countable set of partial bijections may be obtained as the composition of two partial bijections and their inverses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-27T12:29:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric inverse semigroup",
      "partial bijections",
      "sierpiński rank",
      "countable set",
      "infinite set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6284H"
    }
  }
}