{
  "id": "2012.10570",
  "version": "v1",
  "published": "2020-12-19T01:52:40.000Z",
  "updated": "2020-12-19T01:52:40.000Z",
  "title": "Pseudocompact and precompact subsemigroups of topological groups",
  "authors": [
    "Julio César Hernández Arzusa"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we give sufficient conditions under which a subsemigroup of a topological group is a subgroup, adding to the results given in \\cite{Kosh, can, axioms, forum, Hof, cc, locally} where conditions exist (such as locally compactness, compactness, feeble compactness and sequential compactness) for a semigroup to be a group. In our work we proved that closed precompact subsemigroups of topological groups are semigroups, just like open pseudocompact monoids of topological groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-19T01:52:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological group",
      "open pseudocompact monoids",
      "sufficient conditions",
      "sequential compactness",
      "closed precompact subsemigroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}