{
  "id": "1611.04787",
  "version": "v1",
  "published": "2016-11-15T10:57:59.000Z",
  "updated": "2016-11-15T10:57:59.000Z",
  "title": "About subtransversality of collections of sets",
  "authors": [
    "Alexander Y. Kruger",
    "D. Russell Luke",
    "Nguyen H. Thao"
  ],
  "comment": "23 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "We provide dual sufficient conditions for subtransversality of collections of sets in an Asplund space setting. For the convex case, we formulate a necessary and sufficient dual criterion of subtransversality in general Banach spaces. Our more general results suggest an intermediate notion of subtransversality, what we call weak intrinsic subtransversality, which lies between intrinsic transversality and subtransversality in Asplund spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-15T10:57:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J53",
      "65K10",
      "49K40",
      "49M05",
      "49M37",
      "65K05",
      "90C30"
    ],
    "keywords": [
      "collections",
      "asplund space",
      "dual sufficient conditions",
      "weak intrinsic subtransversality",
      "sufficient dual criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}