{
  "id": "1504.01415",
  "version": "v1",
  "published": "2015-04-06T21:08:10.000Z",
  "updated": "2015-04-06T21:08:10.000Z",
  "title": "A quotient-like construction involving elementary submodels",
  "authors": [
    "Peter Burton"
  ],
  "comment": "10 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "This article is an investigation of a method of deriving a topology from a space and an elementary submodel containing it. We first define and give the basic properties of this construction, known as $X/M$. In the next section, we construct some examples and analyse the topological relationship between $X$ and $X/M$. In the final section, we apply $X/M$ to get novel results about Lindel\\\"{o}f spaces, giving partial answers to a question of F.D. Tall and another question of Tall and M. Scheepers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-06T21:08:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D80",
      "54D20"
    ],
    "keywords": [
      "elementary submodel",
      "quotient-like construction",
      "giving partial answers",
      "novel results",
      "final section"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401415B"
    }
  }
}