{
  "id": "1104.3930",
  "version": "v2",
  "published": "2011-04-20T02:50:55.000Z",
  "updated": "2015-11-23T00:44:32.000Z",
  "title": "On topological properties of families of finite sets",
  "authors": [
    "Claribet Piña",
    "Carlos Uzcátegui"
  ],
  "journal": "Journal of Combinatorial Theory, Series A, Volume 119, Issue 5, July 2012, Pages 1066-1077",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present results about the Cantor-Bendixson index of some subspaces of a uniform family F of finite subsets of natural numbers with respect to the lexicographic order topology. As a corollary of our results we get that for any omega-uniform family F the restriction F|M is homeomorphic to F iff M contains intervals of arbitrary length of consecutive integers. We show the connection of these results with a topological partition problem of uniform families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-20T02:50:55.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-11-23T00:44:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E02",
      "05D10"
    ],
    "keywords": [
      "finite sets",
      "topological properties",
      "lexicographic order topology",
      "uniform family",
      "cantor-bendixson index"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3930P"
    }
  }
}