{
  "id": "1806.09088",
  "version": "v1",
  "published": "2018-06-24T05:38:15.000Z",
  "updated": "2018-06-24T05:38:15.000Z",
  "title": "Complete topological classification of Baire spaces functions on ordinals",
  "authors": [
    "L. V. Genze",
    "S. P. Gul'ko",
    "T. E. Khmyleva"
  ],
  "comment": "15 pages, in Russian, accepted by Siberian Mathematical Journal",
  "categories": [
    "math.GN",
    "math.FA"
  ],
  "abstract": "The paper considers the spaces $B_p[1, \\alpha]$ of all Baire functions $x\\colon [1,\\alpha]\\to \\mathbb{R}$, defined on segments of ordinals $[1,\\alpha]$ and endowed with the topology of pointwise convergence. A complete topological classification of these spaces is given",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-24T05:38:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete topological classification",
      "baire spaces functions",
      "baire functions",
      "pointwise convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}