{
  "id": "0811.2090",
  "version": "v1",
  "published": "2008-11-13T16:36:44.000Z",
  "updated": "2008-11-13T16:36:44.000Z",
  "title": "A characterisation of compact, fragmentable linear orders",
  "authors": [
    "R. J. Smith"
  ],
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "We give a characterisation of fragmentable, compact linearly order spaces. In particular, we show that if $K$ is a compact, fragmentable, linearly ordered space then $K$ is a Radon-Nikod\\'{y}m compact. In addition, we obtain some corollaries in topology and renorming theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-13T16:36:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A05",
      "54D30",
      "46B50",
      "46B26"
    ],
    "keywords": [
      "fragmentable linear orders",
      "characterisation",
      "compact linearly order spaces",
      "linearly ordered space",
      "corollaries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2090S"
    }
  }
}