{
  "id": "1708.07927",
  "version": "v1",
  "published": "2017-08-26T04:16:16.000Z",
  "updated": "2017-08-26T04:16:16.000Z",
  "title": "A Note On Separating Function Sets",
  "authors": [
    "Raushan Buzyakova",
    "Oleg Okunev"
  ],
  "comment": "Lobachevskii Journal of Mathematics, accepted, 2017",
  "categories": [
    "math.GN"
  ],
  "abstract": "We study separating function sets. We find some necessary and sufficient conditions for $C_p(X)$ or $C_p^2(X)$ to have a point-separating subspace that is a metric space with certain nice properties. One of the corollaries to our discussion is that for a zero-dimensional $X$, $C_p(X)$ has a discrete point-separating space if and only if $C_p^2(X)$ does.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-26T04:16:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C35",
      "54E45",
      "54A25"
    ],
    "keywords": [
      "study separating function sets",
      "sufficient conditions",
      "metric space",
      "nice properties",
      "discrete point-separating space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}