{
  "id": "1106.4133",
  "version": "v1",
  "published": "2011-06-21T08:39:57.000Z",
  "updated": "2011-06-21T08:39:57.000Z",
  "title": "Uniform covers at non-isolated points",
  "authors": [
    "Fucai Lin",
    "Shou Lin"
  ],
  "comment": "12 pages",
  "journal": "Topology proceedings, 32(2008), 259-275",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper,\\ the authors define a space with an uniform base at non-isolated points, give some characterizations of images of metric spaces by boundary-compact maps, and study certain relationship among spaces with special base properties.\\ The main results are the following: (1)\\ $X$ is an open,\\ boundary-compact image of a metric space if and only if $X$ has an uniform base at non-isolated points; (2)\\ Each discretizable space of a space with an uniform base is an open compact and at most boundary-one image of a space with an uniform base; (3)\\ $X$ has a point-countable base if and only if $X$ is a bi-quotient,\\ at most boundary-one and countable-to-one image of a metric space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-21T08:39:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C10",
      "54D70",
      "54E30",
      "54E40"
    ],
    "keywords": [
      "non-isolated points",
      "uniform base",
      "uniform covers",
      "metric space",
      "open compact"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4133L"
    }
  }
}