{
  "id": "math/0412498",
  "version": "v1",
  "published": "2004-12-27T00:07:00.000Z",
  "updated": "2004-12-27T00:07:00.000Z",
  "title": "A semifilter approach to selection principles",
  "authors": [
    "Lubomyr Zdomsky"
  ],
  "comment": "LaTeX 2e, 15 pages, submitted to Comment. Math. Univ. Carolinae",
  "categories": [
    "math.GN",
    "math.CO"
  ],
  "abstract": "We develop the semifilter approach to the classical Menger and Hurewicz covering properties and show that the small cardinal g is a lower bound of the additivity number of the family of Menger subspaces of the Baire space, and under u< g every subset X of the real line with the property Split(Lambda,Lambda) is Hurewicz.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-27T00:07:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D20",
      "03E17",
      "03E35"
    ],
    "keywords": [
      "semifilter approach",
      "selection principles",
      "property split",
      "hurewicz covering properties",
      "real line"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12498Z"
    }
  }
}