{
  "id": "1010.3380",
  "version": "v1",
  "published": "2010-10-16T21:48:44.000Z",
  "updated": "2010-10-16T21:48:44.000Z",
  "title": "Topological classification of affine operators on unitary and Euclidean spaces",
  "authors": [
    "Tetiana Budnitska"
  ],
  "doi": "10.1016/j.laa.2010.09.009",
  "categories": [
    "math.GN",
    "math.DS",
    "math.RT"
  ],
  "abstract": "We classify affine operators on a unitary or Euclidean space U up to topological conjugacy. An affine operator is a map f: U-->U of the form f(x)=Ax+b, in which A: U-->U is a linear operator and b in U. Two affine operators f and g are said to be topologically conjugate if hg=fh for some homeomorphism h: U-->U.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-16T21:48:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15",
      "15A21"
    ],
    "keywords": [
      "euclidean space",
      "topological classification",
      "classify affine operators",
      "linear operator",
      "homeomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3380B"
    }
  }
}