{
  "id": "2203.00615",
  "version": "v1",
  "published": "2022-03-01T16:56:01.000Z",
  "updated": "2022-03-01T16:56:01.000Z",
  "title": "Forcing constellations of Cichoń's diagram by using the Tukey order",
  "authors": [
    "Miguel A. Cardona",
    "Diego A. Mejía"
  ],
  "comment": "34 pages, 34 figures. To appear in Kyoto Daigaku Surikaiseki Kenkyujo Kokyuroku",
  "categories": [
    "math.LO"
  ],
  "abstract": "We use known finite support iteration techniques to present various examples of models where several cardinal characteristics of Cicho\\'n's diagram are pairwise different. We show some simple examples forcing the left-hand side of Cicho\\'n's diagram, and present the technique of restriction to models to force Cicho\\'n's maximum (original from Goldstern, Kellner, Shelah, and the second author). We focus on how the values forced in all the constellations are obtained via the Tukey order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-01T16:56:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "tukey order",
      "cichońs diagram",
      "forcing constellations",
      "cichons diagram",
      "finite support iteration techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}