{
  "id": "1502.04556",
  "version": "v1",
  "published": "2015-02-16T14:42:37.000Z",
  "updated": "2015-02-16T14:42:37.000Z",
  "title": "Topological extensions with compact remainder",
  "authors": [
    "M. R. Koushesh"
  ],
  "comment": "33 pages",
  "journal": "J. Math. Soc. Japan 67 (2015), no. 1, 1-42",
  "categories": [
    "math.GN"
  ],
  "abstract": "Let $\\mathfrak{P}$ be a topological property. We study the relation between the order structure of the set of all $\\mathfrak{P}$-extensions of a completely regular space $X$ with compact remainder (partially ordered by the standard partial order $\\leq$) and the topology of certain subspaces of the outgrowth $\\beta X\\setminus X$. The cases when $\\mathfrak{P}$ is either pseudocompactness or realcompactness are studied in more detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-16T14:42:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact remainder",
      "topological extensions",
      "standard partial order",
      "regular space",
      "order structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}