{
  "id": "1206.1949",
  "version": "v1",
  "published": "2012-06-09T15:56:40.000Z",
  "updated": "2012-06-09T15:56:40.000Z",
  "title": "Hyperspaces of max-plus convex subsets of powers of the real line",
  "authors": [
    "Lidia Bazylevych",
    "Dušan Repovš",
    "Mykhailo Zarichnyi"
  ],
  "journal": "J. Math. Anal. Appl. 394:2 (2012), 481-487",
  "doi": "10.1016/j.jmaa.2012.05.002",
  "categories": [
    "math.GN",
    "math.FA",
    "math.GT"
  ],
  "abstract": "The notion of max-plus convex subset of Euclidean space can be naturally extended to other linear spaces. The aim of this paper is to describe the topology of hyperspaces of max-plus convex subsets of Tychonov powers $\\mathbb R^\\tau$ of the real line. We show that the corresponding spaces are AR's if and only if $\\tau\\le\\omega_1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-09T15:56:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A07",
      "54B20",
      "57N20"
    ],
    "keywords": [
      "max-plus convex subset",
      "real line",
      "hyperspaces",
      "euclidean space",
      "linear spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1949B"
    }
  }
}