{
  "id": "1905.08070",
  "version": "v1",
  "published": "2019-05-20T13:00:11.000Z",
  "updated": "2019-05-20T13:00:11.000Z",
  "title": "Strongly sequentially separable function spaces, via selection principles",
  "authors": [
    "Alexander V. Osipov",
    "Piotr Szewczak",
    "Boaz Tsaban"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GN",
    "math.FA"
  ],
  "abstract": "A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and related properties, for the spaces of continous and Borel real-valued functions on Tychonoff spaces, with the topology of pointwise convergence. Our results solve a problem stated by Gartside, Lo, and Marsh.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-20T13:00:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20",
      "26A03",
      "03E75",
      "54C35"
    ],
    "keywords": [
      "strongly sequentially separable function spaces",
      "selection principles",
      "borel real-valued functions",
      "countable dense set",
      "tychonoff spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}