{
  "id": "math/9807178",
  "version": "v1",
  "published": "1998-07-15T00:00:00.000Z",
  "updated": "1998-07-15T00:00:00.000Z",
  "title": "Lusin sequences under CH and under Martin's Axiom",
  "authors": [
    "Uri Abraham",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Assuming the continuum hypothesis there is an inseparable sequence of length omega_1 that contains no Lusin subsequence, while if Martin's Axiom and the negation of CH is assumed then every inseparable sequence (of length omega_1) is a union of countably many Lusin subsequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "martins axiom",
      "lusin sequences",
      "lusin subsequence",
      "inseparable sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......7178A"
    }
  }
}