{
  "id": "math/9604211",
  "version": "v1",
  "published": "1996-04-24T00:00:00.000Z",
  "updated": "1996-04-24T00:00:00.000Z",
  "title": "Compactness of Loeb Spaces",
  "authors": [
    "R. Jin",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In section 1 we prove that Loeb spaces are compact under various assumptions, and in section 2 we prove that Loeb spaces are not compact under various other assumptions. The results in section 1 and section 2 give a quite complete answer to a question of D. Ross.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-04-24T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compactness",
      "loeb space depends",
      "quite complete answer",
      "nonstandard universe",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......4211J"
    }
  }
}