{
  "id": "1906.06177",
  "version": "v1",
  "published": "2019-06-13T16:41:02.000Z",
  "updated": "2019-06-13T16:41:02.000Z",
  "title": "Extensions of dualities and a new approach to the de Vries duality",
  "authors": [
    "G. Dimov",
    "E. Ivanova-Dimova",
    "W. Tholen"
  ],
  "comment": "45 pages. arXiv admin note: substantial text overlap with arXiv:1808.06168",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove a general categorical theorem for the extension of dualities. Applying it, we present new proofs of the de Vries Duality Theorem for the category CHaus of compact Hausdorff spaces and continuous maps, and of the recent Bezhanishvili-Morandi-Olberding Duality Theorem which extends the de Vries duality to the category Tych of Tychonoff spaces and continuous maps. In the process of doing so we obtain new duality theorems for the categories CHaus and Tych.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-13T16:41:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D30",
      "54B30",
      "18A40",
      "18B30",
      "54E05",
      "54C10",
      "54G05",
      "54H10",
      "06E15",
      "03G05"
    ],
    "keywords": [
      "continuous maps",
      "compact hausdorff spaces",
      "vries duality theorem",
      "categories chaus",
      "category chaus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}