{
  "id": "math/9204218",
  "version": "v1",
  "published": "1992-04-15T00:00:00.000Z",
  "updated": "1992-04-15T00:00:00.000Z",
  "title": "Full reflection of stationary sets at regular cardinals",
  "authors": [
    "Thomas Jech",
    "Saharon Shelah"
  ],
  "journal": "Amer. J. Math. 115 (1993), 435-455",
  "categories": [
    "math.LO"
  ],
  "abstract": "A stationary subset S of a regular uncountable cardinal kappa reflects fully at regular cardinals if for every stationary set T subseteq kappa of higher order consisting of regular cardinals there exists an alpha in T such that S cap alpha is a stationary subset of alpha. We prove that the Axiom of Full Reflection which states that every stationary set reflects fully at regular cardinals, together with the existence of n-Mahlo cardinals is equiconsistent with the existence of Pi^1_n-indescribable cardinals. We also state the appropriate generalization for greatly Mahlo cardinals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-04-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regular cardinals",
      "full reflection",
      "stationary subset",
      "regular uncountable cardinal kappa reflects"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......4218J"
    }
  }
}