{
  "id": "1510.06278",
  "version": "v1",
  "published": "2015-10-21T14:38:26.000Z",
  "updated": "2015-10-21T14:38:26.000Z",
  "title": "On cuts in ultraproducts of linear orders I",
  "authors": [
    "Mohammad Golshani",
    "Saharon Shelah"
  ],
  "comment": "This is publication 1075 of second author",
  "categories": [
    "math.LO"
  ],
  "abstract": "For an ultrafilter $D$ on a cardinal $\\kappa,$ we wonder for which pair $(\\theta_1, \\theta_2)$ of regular cardinals, we have: for any $(\\theta_1+\\theta_2)^+-$saturated dense linear order $J, J^{\\kappa}/ D$ has a cut of cofinality $(\\theta_1, \\theta_2).$ We deal mainly with the case $\\theta_1, \\theta_2 > 2^\\kappa.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-21T14:38:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ultraproducts",
      "saturated dense linear order",
      "regular cardinals",
      "ultrafilter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151006278G"
    }
  }
}