{
  "id": "1801.01873",
  "version": "v1",
  "published": "2018-01-05T18:57:18.000Z",
  "updated": "2018-01-05T18:57:18.000Z",
  "title": "When is $X\\times Y$ homeomorphic to $X\\times_l Y$?",
  "authors": [
    "Raushan Buzyakova"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We identify a class of linearly ordered topological spaces $X$ that may satisfy the property that $X\\times X$ is homeomorphic to $X\\times_l X$ or can be embedded into a linearly ordered space with the stated property. We justify the conjectures by partial results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-05T18:57:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06B30",
      "54F05",
      "06A05",
      "54A10"
    ],
    "keywords": [
      "homeomorphic",
      "partial results",
      "linearly ordered topological spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}