{
  "id": "1407.1532",
  "version": "v1",
  "published": "2014-07-06T19:15:17.000Z",
  "updated": "2014-07-06T19:15:17.000Z",
  "title": "A characterization of free locally convex spaces over metrizable spaces which have countable tightness",
  "authors": [
    "S. S. Gabriyelyan"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that the free locally convex space $L(X)$ over a metrizable space $X$ has countable tightness if and only if $X$ is separable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-06T19:15:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A03",
      "54A25",
      "54D50"
    ],
    "keywords": [
      "free locally convex space",
      "countable tightness",
      "metrizable space",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1532G"
    }
  }
}