{
  "id": "1011.3586",
  "version": "v1",
  "published": "2010-11-16T05:56:56.000Z",
  "updated": "2010-11-16T05:56:56.000Z",
  "title": "Very I-favorable spaces",
  "authors": [
    "A. Kucharski",
    "Sz. Plewik",
    "V. Valov"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that a Hausdorff space $X$ is very $\\mathrm I$-favorable if and only if $X$ is the almost limit space of a $\\sigma$-complete inverse system consisting of (not necessarily Hausdorff) second countable spaces and surjective d-open bonding maps. It is also shown that the class of Tychonoff very $\\mathrm I$-favorable spaces with respect to the co-zero sets coincides with the d-openly generated spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-16T05:56:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "i-favorable spaces",
      "co-zero sets coincides",
      "hausdorff space",
      "complete inverse system consisting",
      "second countable spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.3586K"
    }
  }
}