{
  "id": "1306.1715",
  "version": "v3",
  "published": "2013-06-07T13:14:24.000Z",
  "updated": "2013-07-04T12:05:06.000Z",
  "title": "Initial λ-compactness in linearly ordered spaces",
  "authors": [
    "Paolo Lipparini"
  ],
  "comment": "v.3 simplified the proof of (4) implies (5) in the Theorem",
  "categories": [
    "math.GN"
  ],
  "abstract": "We show that a linearly ordered topological space is initially \\lambda-compact if and only if it is \\lambda-bounded, that is, every set of cardinality $\\leq \\lambda$ has compact closure. As a consequence, every product of initially \\lambda-compact linearly ordered topological spaces is initially \\lambda-compact.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-04T12:05:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F05",
      "54A20",
      "54D20",
      "54B10"
    ],
    "keywords": [
      "linearly ordered spaces",
      "linearly ordered topological space",
      "compact closure",
      "cardinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.1715L"
    }
  }
}