{
  "id": "2104.02148",
  "version": "v1",
  "published": "2021-04-05T20:42:44.000Z",
  "updated": "2021-04-05T20:42:44.000Z",
  "title": "Pairwise intersecting convex sets and cylinders in $\\R^3$",
  "authors": [
    "Imre Barany"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that given a finite collection of cylinders in $\\R^3$ with the property that any two them intersect, then there is a line intersecting an $\\alpha$ fraction of the cylinders where $\\alpha=\\frac 1{28}$. This is a special case of an interesting conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-05T20:42:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A35"
    ],
    "keywords": [
      "pairwise intersecting convex sets",
      "finite collection",
      "special case",
      "interesting conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}