{
  "id": "1607.00297",
  "version": "v1",
  "published": "2016-07-01T15:53:29.000Z",
  "updated": "2016-07-01T15:53:29.000Z",
  "title": "Characterizing Corson and Valdivia compact spaces",
  "authors": [
    "F. Casarrubias-Segura",
    "S. García-Ferreira",
    "R. Rojas-Hernández"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We give a new characterization of Valdivia compact spaces: A compact space is Valdivia if and only if it has a dense commutatively monotonically retractable subspace. This result solves Problem 5.12 from \\cite{sal-rey}. Besides, we introduce the notion of full $c$-skeleton and prove that a compact space is Corson if and only if it has a full $c$-skeleton.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-01T15:53:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "valdivia compact spaces",
      "characterizing corson",
      "dense commutatively monotonically retractable subspace",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}