{
  "id": "1308.2154",
  "version": "v1",
  "published": "2013-08-09T15:17:52.000Z",
  "updated": "2013-08-09T15:17:52.000Z",
  "title": "An elementary proof that the first hitting time of an $F_σ$ set by a jump process is a stopping time",
  "authors": [
    "Alexander Sokol"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We give a short and elementary proof that the first hitting time of a $F_\\sigma$ set by the jump process of a c\\`{a}dl\\`{a}g adapted process is a stopping time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-09T15:17:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first hitting time",
      "elementary proof",
      "jump process",
      "stopping time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2154S"
    }
  }
}