{
  "id": "1710.01759",
  "version": "v1",
  "published": "2017-10-04T18:50:01.000Z",
  "updated": "2017-10-04T18:50:01.000Z",
  "title": "The free locally convex space $L(\\mathbf{s})$ over a convergent sequence $\\mathbf{s}$ is not a Mackey space",
  "authors": [
    "Saak Gabriyelyan"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We show that the free locally convex space $L(\\mathbf{s})$ over a convergent sequence $\\mathbf{s}$ is not a Mackey space. Consequently $L(\\mathbf{s})$ is not a Mackey group that answers negatively a question posed in [4].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-04T18:50:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A03",
      "54A10"
    ],
    "keywords": [
      "free locally convex space",
      "convergent sequence",
      "mackey space",
      "mackey group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}