{
  "id": "2307.06256",
  "version": "v1",
  "published": "2023-07-12T15:50:45.000Z",
  "updated": "2023-07-12T15:50:45.000Z",
  "title": "Groups of Binary Operations and Binary $G$-Spaces",
  "authors": [
    "Pavel S. Gevorgyan"
  ],
  "comment": "12 pages",
  "journal": "Topology and its Applications, 201(2016), 18-28",
  "doi": "10.1016/j.topol.2015.12.024",
  "categories": [
    "math.GN"
  ],
  "abstract": "The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary $G$-spaces and bi-equivariant maps is constructed, which is a natural extension of the category of $G$-spaces and equivariant maps. Results related to the foundations of the theory of binary $G$-spaces are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-12T15:50:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H15",
      "57S99"
    ],
    "keywords": [
      "continuous binary operations",
      "bi-equivariant maps",
      "natural extension",
      "topological space",
      "relationship"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}