{
  "id": "math/9401203",
  "version": "v1",
  "published": "1994-01-11T00:00:00.000Z",
  "updated": "1994-01-11T00:00:00.000Z",
  "title": "What makes a space have large weight?",
  "authors": [
    "I. Juhász",
    "Lajos Soukup",
    "Z. Szentmiklóssy"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We formulate several conditions (two of them are necessary and sufficient) which imply that a space of small character has large weight. In section 3 we construct a ZFC example of a first countable 0-dimensional space X of size 2^omega with w(X)=2^omega and nw(X)=omega, we show that CH implies the existence of a 0-dimensional space Y of size omega_1 with w(Y)=nw(Y)=omega_1 and chi(Y)=R(Y)=omega, and we prove that it is consistent that 2^omega is as large as you wish and there is a 0-dimensional space Z of size 2^omega such that w(Z)=nw(Z)=2^omega but chi(Z)=R(Z^omega)=omega.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-01-11T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large weight",
      "small character",
      "zfc example",
      "ch implies",
      "sufficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......1203J"
    }
  }
}