{
  "id": "1609.02865",
  "version": "v1",
  "published": "2016-09-09T17:23:04.000Z",
  "updated": "2016-09-09T17:23:04.000Z",
  "title": "On the dichotomy of a locally compact semitopological polycyclic monoid",
  "authors": [
    "Serhii Bardyla"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper for each non-zero cardinal $\\lambda$ we describe all locally compact topologies $\\tau$ on the $\\lambda$-polycyclic monoid $\\mathcal{P}_{\\lambda}$ such that $(\\mathcal{P}_{\\lambda},\\tau)$ is a semitopological semigroup. In particular we prove that a locally compact semitopological $\\lambda$-Polycyclic monoid is either compact or discrete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-09T17:23:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M18",
      "22A15"
    ],
    "keywords": [
      "locally compact semitopological polycyclic monoid",
      "non-zero cardinal",
      "locally compact topologies",
      "semitopological semigroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}