{
  "id": "1710.01651",
  "version": "v1",
  "published": "2017-10-04T15:17:16.000Z",
  "updated": "2017-10-04T15:17:16.000Z",
  "title": "Bornologies and filters in selection principles on function spaces",
  "authors": [
    "Leandro Fiorini Aurichi",
    "Renan Maneli Mezabarba"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We extend known results of selection principles in $C_p$-theory to the context of spaces of the form $C_{\\mathcal{B}}(X)$, where $\\mathcal{B}$ is a bornology on $X$. Particularly, by using the filter approach of Jordan to $C_p$-theory, we show that $\\gamma$-productive spaces are productive with a larger class of $\\gamma$-like spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-04T15:17:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "selection principles",
      "function spaces",
      "larger class",
      "filter approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}