{
  "id": "1512.02610",
  "version": "v1",
  "published": "2015-12-08T20:02:24.000Z",
  "updated": "2015-12-08T20:02:24.000Z",
  "title": "Small Valdivia compacta and trees",
  "authors": [
    "Claudia Correa",
    "Daniel V. Tausk"
  ],
  "comment": "18 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We present a characterization of Valdivia compact spaces of small weight in terms of path spaces of trees and we use it to obtain (under $\\diamondsuit$) a counterexample to a conjecture related to an open problem concerning twisted sums of $C(K)$ spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-08T20:02:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D30",
      "54G20",
      "06A06",
      "54A35"
    ],
    "keywords": [
      "small valdivia compacta",
      "valdivia compact spaces",
      "open problem concerning twisted sums",
      "small weight",
      "path spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151202610C"
    }
  }
}