{
  "id": "1203.5448",
  "version": "v1",
  "published": "2012-03-24T21:31:13.000Z",
  "updated": "2012-03-24T21:31:13.000Z",
  "title": "Intersection of continua and rectifiable curves",
  "authors": [
    "Richárd Balka",
    "Viktor Harangi"
  ],
  "journal": "Proc. Edinb. Math. Soc. (2) 57 (2014), no. 2, 339-345",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove that for any non-degenerate continuum $K \\subseteq \\mathbb{R}^d$ there exists a rectifiable curve such that its intersection with $K$ has Hausdorff dimension 1. This answers a question of B. Kirchheim.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-24T21:31:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rectifiable curve",
      "intersection",
      "non-degenerate continuum"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5448B"
    }
  }
}