{
  "id": "1510.05589",
  "version": "v1",
  "published": "2015-10-19T17:15:27.000Z",
  "updated": "2015-10-19T17:15:27.000Z",
  "title": "Spaces l-Dominated by I or R",
  "authors": [
    "Paul Gartside",
    "Ziqin Feng"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "If $X$ is compact metrizable and has finite fd-height then the unit interval, $I$, $\\ell$-dominates $X$, in other words, there is a continuous linear map of $C_p(I)$ onto $C_p(X)$. If the unit interval $\\ell$-dominates a space $X$ then $X$ is compact metrizable and has countable fd-height. Similar results are given for spaces $\\ell$-dominated by the reals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-19T17:15:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C35",
      "54E45",
      "26B40",
      "54F45"
    ],
    "keywords": [
      "unit interval",
      "finite fd-height",
      "compact metrizable",
      "continuous linear map",
      "similar results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}