{
  "id": "1808.06168",
  "version": "v1",
  "published": "2018-08-19T05:53:48.000Z",
  "updated": "2018-08-19T05:53:48.000Z",
  "title": "Extensions of dualities and a new approach to the Fedorchuk duality",
  "authors": [
    "G. Dimov",
    "E. Ivanova-Dimova",
    "W. Tholen"
  ],
  "comment": "20 pages",
  "categories": [
    "math.GN",
    "math.CT"
  ],
  "abstract": "Applying a general categorical construction for the extension of dualities, we present a new proof of the Fedorchuk duality between the category of compact Hausdorff spaces with their quasi-open mappings and the category of complete normal contact algebras with suprema-preserving Boolean homomorphisms which reflect the contact relation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-19T05:53:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E05",
      "18A40",
      "54H10",
      "06E15",
      "03G05",
      "54D30",
      "54D10"
    ],
    "keywords": [
      "fedorchuk duality",
      "complete normal contact algebras",
      "compact hausdorff spaces",
      "general categorical construction",
      "quasi-open mappings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}