{
  "id": "2205.09562",
  "version": "v1",
  "published": "2022-05-19T13:41:12.000Z",
  "updated": "2022-05-19T13:41:12.000Z",
  "title": "Topology on diffeological vector spaces",
  "authors": [
    "Enxin Wu",
    "Zhongqiang Yang"
  ],
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "It is expected that the $D$-topology makes every diffeological vector space into a topological vector space. We show that it is the case for a large class of diffeological vector spaces via $k_\\omega$-space theory, but not so in general. The paper also proposes the study of a class of almost topological vector spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-19T13:41:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffeological vector space",
      "topological vector space",
      "large class",
      "space theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}