{
  "id": "1210.7913",
  "version": "v1",
  "published": "2012-10-30T07:13:53.000Z",
  "updated": "2012-10-30T07:13:53.000Z",
  "title": "Interleaved equivalence of categories of persistence modules",
  "authors": [
    "Mikael Vejdemo-Johansson"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AT",
    "cs.CG",
    "math.CT"
  ],
  "abstract": "We demonstrate that an equivalence of categories using $\\varepsilon$-interleavings as a fundamental component exists between the model of persistence modules as graded modules over a polynomial ring and the model of persistence modules as modules over the total order of the real numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-30T07:13:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16D90",
      "06A05"
    ],
    "keywords": [
      "persistence modules",
      "interleaved equivalence",
      "categories",
      "fundamental component",
      "real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.7913V"
    }
  }
}