{
  "id": "1301.2642",
  "version": "v2",
  "published": "2013-01-12T03:03:33.000Z",
  "updated": "2013-03-16T02:32:04.000Z",
  "title": "Neighborhood base at the identity of free paratopological groups",
  "authors": [
    "Ali Sayed Elfard"
  ],
  "comment": "This paper has been withdrawn by the author due to updates",
  "categories": [
    "math.GN"
  ],
  "abstract": "V. G. Pestov described a neighborhood base at the identity of the Markov free topological group $F(X)$ on a Tychonoff space $X$ in terms of the fine uniformity on $X$. In this paper, an analogue of Pestov's description for the Markov free paratopological group $\\FP(X)$ on a space $X$ in terms of the fine quasi-uniformity on $X$ is found and some properties of the Markov and Graev free paratopological groups are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-16T02:32:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neighborhood base",
      "markov free topological group",
      "markov free paratopological group",
      "graev free paratopological groups",
      "fine uniformity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.2642S"
    }
  }
}