{
  "id": "2003.06014",
  "version": "v1",
  "published": "2020-03-12T20:56:03.000Z",
  "updated": "2020-03-12T20:56:03.000Z",
  "title": "The space consisting of uniformly continuous functions on a metric measure space with the $L^p$ norm",
  "authors": [
    "Katsuhisa Koshino"
  ],
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "In this paper, we shall show that the space of real-valued uniformly continuous functions on a metric measure space with the $L^p$ norm is homeomorphic to the subspace consisting of sequences conversing to $0$ in the pseudo interior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-12T20:56:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C35",
      "57N20",
      "57N17",
      "46E15",
      "46E30",
      "28A20"
    ],
    "keywords": [
      "metric measure space",
      "space consisting",
      "pseudo interior",
      "real-valued uniformly continuous functions",
      "homeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}