{
  "id": "2305.04998",
  "version": "v1",
  "published": "2023-05-08T19:05:23.000Z",
  "updated": "2023-05-08T19:05:23.000Z",
  "title": "Weak $P$-points for regulars",
  "authors": [
    "Joanna Jureczko"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2305.02794",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "The main result of this paper is to show that for any compact space $X$ and any family $\\{f_\\alpha \\colon \\alpha< 2^\\kappa, f_\\alpha \\colon X \\stackrel{onto}{\\longrightarrow} \\beta \\kappa\\}$ of open mappings there exists a point $x \\in X$ such that for each $\\alpha< 2^\\kappa$ either $f_\\alpha(x)$ belongs to $\\kappa$ or $f_\\alpha(x)$ is a weak $P_\\kappa$-point in $\\kappa^*$, whenever $\\kappa$ is regular.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-08T19:05:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact space",
      "open mappings",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}