{
  "id": "2005.07912",
  "version": "v1",
  "published": "2020-05-16T08:56:45.000Z",
  "updated": "2020-05-16T08:56:45.000Z",
  "title": "Cohen real or random real: effect on strong measure zero sets and strongly meager sets",
  "authors": [
    "Miguel A. Cardona"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that the set of the ground-model reals has strong measure zero (is strongly meager) after adding a single Cohen real (random real). As consequence we prove that the set of the ground-model reals has strong measure zero after adding a single Hechler real.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-16T08:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05"
    ],
    "keywords": [
      "strong measure zero sets",
      "strongly meager sets",
      "random real",
      "ground-model reals",
      "single cohen real"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}