{
  "id": "1509.06064",
  "version": "v1",
  "published": "2015-09-20T22:14:56.000Z",
  "updated": "2015-09-20T22:14:56.000Z",
  "title": "Topological stability of continuous functions with respect to averagings",
  "authors": [
    "Sergiy Maksymenko",
    "Oksana Marunkevych"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GN",
    "math.GT",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We present sufficient conditions for topological stability of continuous functions $f:\\mathbb{R}\\to\\mathbb{R}$ having finitely many local extrema with respect to averagings by discrete measures with finite supports.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-20T22:14:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A99",
      "60G35"
    ],
    "keywords": [
      "continuous functions",
      "topological stability",
      "averagings",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906064M"
    }
  }
}