{
  "id": "1601.06489",
  "version": "v1",
  "published": "2016-01-25T06:34:07.000Z",
  "updated": "2016-01-25T06:34:07.000Z",
  "title": "Compact subspace of products of linearly ordered spaces and co-Namioka spaces",
  "authors": [
    "Volodymyr Mykhaylyuk"
  ],
  "journal": "Mat. Bull. Shevchenko Scien.Soc. 10 (2013), 159-162",
  "categories": [
    "math.GN"
  ],
  "abstract": "It is shown that for any Baire space $X$, linearly ordered compact spaces $Y_1,\\dots, Y_n$, compact space $Y\\subseteq Y_1\\times\\cdots \\times Y_n$ such that for every parallelepiped $W\\subseteq Y_1\\times\\cdots \\times Y_n$ the set $Y\\cap W$ is connected, and separately continuous mapping $f:X\\times Y\\to\\mathbb R$ there exists a dense in $X$ $G_\\delta$-set $A\\subseteq X$ such that $f$ is jointly continuous at every point of $A\\times Y$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-25T06:34:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linearly ordered spaces",
      "co-namioka spaces",
      "compact subspace",
      "baire space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160106489M"
    }
  }
}