{
  "id": "1805.09968",
  "version": "v1",
  "published": "2018-05-25T03:48:09.000Z",
  "updated": "2018-05-25T03:48:09.000Z",
  "title": "Selective separability on spaces with an analytic topology",
  "authors": [
    "J. Camargo",
    "C. Uzcategui"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We study two form of selective selective separability, $SS$ and $SS^+$, on countable spaces with an analytic topology. We show several Ramsey type properties which imply $SS$. For analytic spaces $X$, $SS^+$ is equivalent to have that the collection of dense sets is a $G_\\delta$ subset of $2^X$, and also equivalent to the existence of a weak base which is an $F_\\sigma$-subset of $2^X$. We study several examples of analytic spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-25T03:48:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H05",
      "54D65"
    ],
    "keywords": [
      "analytic topology",
      "analytic spaces",
      "ramsey type properties",
      "equivalent",
      "dense sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}