{
  "id": "0708.2136",
  "version": "v1",
  "published": "2007-08-16T04:54:06.000Z",
  "updated": "2007-08-16T04:54:06.000Z",
  "title": "A Short Study of Alexandroff Spaces",
  "authors": [
    "Timothy Speer"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we discuss the basic properties of Alexandroff spaces. Several examples of Alexandroff spaces are given. We show how to construct new Alexandroff spaces from given ones. Finally, two invariants for compact Alexandroff spaces are defined and calculated for the given examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-16T04:54:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54-02"
    ],
    "keywords": [
      "short study",
      "compact alexandroff spaces",
      "basic properties",
      "invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2136S"
    }
  }
}