{
  "id": "0905.2357",
  "version": "v2",
  "published": "2009-05-14T15:45:10.000Z",
  "updated": "2010-05-03T15:59:55.000Z",
  "title": "Criteria for cuspidal S_k singularities and their applications",
  "authors": [
    "Kentaro Saji"
  ],
  "comment": "17 pages, 6figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give useful criteria for S_1 singularities in the Mond classification table, and cuspidal S_k singularities. As applications, we give a simple proof of a result given by Mond and a characterization of cuspidal S_k singularities for the composition of a cuspidal edge and a fold map indicated by Arnol'd for the case k=1.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-03T15:59:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "53A05"
    ],
    "keywords": [
      "singularities",
      "applications",
      "simple proof",
      "cuspidal edge",
      "fold map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2357S"
    }
  }
}