{
  "id": "2105.10550",
  "version": "v1",
  "published": "2021-05-21T19:48:50.000Z",
  "updated": "2021-05-21T19:48:50.000Z",
  "title": "Partial actions of groups on hyperspaces",
  "authors": [
    "Luís Martínez",
    "Héctor Pinedo",
    "Edwar Ramírez"
  ],
  "categories": [
    "math.GN",
    "math.OA"
  ],
  "abstract": "Let $X$ be a compact Hausdorff space. In this work we translate partial actions of $X$ to partial actions on some hyperspaces determined by $X,$ this gives an endofunctor $2^{-}$ in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions $\\theta$ on $X$ and partial determined by $2^{\\theta}$ are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-21T19:48:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact hausdorff space",
      "hyperspaces",
      "translate partial actions",
      "structural relations",
      "endofunctor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}