{
  "id": "math/9504221",
  "version": "v1",
  "published": "1995-04-15T00:00:00.000Z",
  "updated": "1995-04-15T00:00:00.000Z",
  "title": "A consistency result on weak reflection",
  "authors": [
    "James Cummings",
    "Mirna Džamonja",
    "Saharon Shelah"
  ],
  "journal": "Fund. Math. 148 (1995), 91--100",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say theta strongly non-reflects at lambda iff there is a function F: theta ---> lambda such that for all alpha < theta with cf(alpha)= lambda there is C club in alpha such that F restriction C is strictly increasing. We prove that it is consistent to have a cardinal theta such that strong non-reflection and weak reflection each hold on an unbounded set of cardinals less than theta .",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-04-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "consistency result",
      "strong non-reflection",
      "contrapositive weak reflection",
      "theta strongly non-reflects",
      "cardinal theta"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math......4221C"
    }
  }
}