{
  "id": "1706.02157",
  "version": "v1",
  "published": "2017-06-07T12:37:20.000Z",
  "updated": "2017-06-07T12:37:20.000Z",
  "title": "Topological Study of Pairs of Algebraically Closed Fields",
  "authors": [
    "Ayhan Günaydın"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We construct a topology on a given algebraically closed field with a distinguished subfield which is also algebraically closed. This topology is finer than Zariski topology and it captures the sets definable in the pair of algebraically closed fields as above; in the sense that definable sets are exactly the constructible sets in this topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-07T12:37:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraically closed field",
      "topological study",
      "zariski topology",
      "distinguished subfield"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}