{
  "id": "2111.04832",
  "version": "v3",
  "published": "2021-11-08T21:10:06.000Z",
  "updated": "2024-11-27T22:12:12.000Z",
  "title": "A universal space for finite topological spaces",
  "authors": [
    "Diego Mondéjar"
  ],
  "categories": [
    "math.GN",
    "math.AT",
    "math.GT"
  ],
  "abstract": "We find universal spaces for Alexandroff and finite spaces and explore some of its topological properties as well as their description as inverse limits of finite spaces and Alexandroff extensions. They can be used as a natural environment to describe shape properties of compact metric spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2024-11-27T22:12:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20",
      "54C25",
      "54A10",
      "54A05",
      "54D10",
      "54D35"
    ],
    "keywords": [
      "finite topological spaces",
      "universal space",
      "finite spaces",
      "compact metric spaces",
      "shape properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}