{
  "id": "1105.2806",
  "version": "v2",
  "published": "2011-05-13T19:09:57.000Z",
  "updated": "2011-06-11T14:38:16.000Z",
  "title": "Metrizability of Clifford topological semigroups",
  "authors": [
    "Taras Banakh",
    "Oleg Gutik",
    "Oles Potiatynyk",
    "Alex Ravsky"
  ],
  "comment": "4 pages",
  "journal": "Semigroup Forum. 84 (2012) 301-307",
  "doi": "10.1007/s00233-011-9341-7",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\\{e\\in S:ee=e\\}$ of idempotents of $S$ is a metrizable $G_\\delta$-set in $S$. The same metrization criterion holds also for any countably compact Clifford topological semigroup $S$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-11T14:38:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A15",
      "54E35",
      "54E18",
      "54D30"
    ],
    "keywords": [
      "metrizability",
      "metrization criterion holds",
      "countably compact clifford topological semigroup",
      "topological clifford semigroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2806B"
    }
  }
}