{
  "id": "1908.02177",
  "version": "v1",
  "published": "2019-08-06T14:21:05.000Z",
  "updated": "2019-08-06T14:21:05.000Z",
  "title": "Topological Nearly Entropy on Nearly Compact Spaces",
  "authors": [
    "Zabidin Salleh",
    "Syazwani Gulamsarwar"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In our previous paper [9], we have introduced topological nearly entropy, Ent_N (f) by restricting X into a class of nearly compact spaces. In the present paper, some additional properties of this notion are studied. Furthermore, we introduce another new notion of topological nearly entropy of f denoted by Ent_n (f) when the whole space X itself is nearly compact. We show the relationship between these two notions for the class of nearly compact subspaces. We also propose new space, namely, R-space in studying the topological nearly entropy on nearly compact and Hausdorff space. As a consequence, the topological nearly entropy of f and it restriction f|K coincides. Finally, some fundamental properties of topological nearly entropy for product space are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-06T14:21:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37B40"
    ],
    "keywords": [
      "compact spaces",
      "topological",
      "fundamental properties",
      "additional properties",
      "product space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}