{
  "id": "1510.02216",
  "version": "v1",
  "published": "2015-10-08T07:51:49.000Z",
  "updated": "2015-10-08T07:51:49.000Z",
  "title": "Independence for $(λ,μ)$",
  "authors": [
    "Shahram Mohsenipour",
    "Saharon Shelah"
  ],
  "comment": "Submitted",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover we prove a ZFC result for set mappings on 4-tuples and also as another application of our forcing construction we give a consistency result for set mappings on triples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-08T07:51:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independence",
      "study set mappings",
      "forcing construction",
      "finite bounds",
      "generic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002216M"
    }
  }
}