{
  "id": "2006.00320",
  "version": "v1",
  "published": "2020-05-30T17:11:53.000Z",
  "updated": "2020-05-30T17:11:53.000Z",
  "title": "Toplogical semigroups embedded in topological groups",
  "authors": [
    "Julio César Hernández Arzusa"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we give conditions under which a topological semigroup can be embedded algebraically and topolo\\-gically in a compact topological group. We prove that every feebly compact regular first coun\\-table cancellative commutative topological semigroup with open shifts is a topological group, as well as every connected locally compact Hausdorff cancellative commutative topological monoid with open shifts. Finally, we use these results to give sufficient conditions on a topological semigroup that guarantee it to have countable cellularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-30T17:11:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological group",
      "toplogical semigroups",
      "cancellative commutative topological monoid",
      "topological semigroup",
      "compact hausdorff cancellative commutative"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}