{
  "id": "2312.16398",
  "version": "v1",
  "published": "2023-12-27T04:04:57.000Z",
  "updated": "2023-12-27T04:04:57.000Z",
  "title": "On Topological Groups of Automorphisms on Unions",
  "authors": [
    "Raushan Buzyakova"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We study groups of homeomorphic bijections on spaces that are finite unions of compact connected linearly ordered subsets. We prove that all such groups when endowed with the topology of point-wise convergence are topological groups. }",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-27T04:04:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F05",
      "54H11",
      "54C35"
    ],
    "keywords": [
      "topological groups",
      "automorphisms",
      "compact connected linearly ordered subsets",
      "finite unions",
      "homeomorphic bijections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}