{
  "id": "0710.5718",
  "version": "v1",
  "published": "2007-10-30T18:04:58.000Z",
  "updated": "2007-10-30T18:04:58.000Z",
  "title": "Normal triangulations in o-minimal structures",
  "authors": [
    "Elias Baro"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We work over an o-minimal expansion of a real closed field R. Given a closed simplicial complex K and a finite number of definable subsets of its realization |K| in R we prove that there exists a triangulation (K',f) of |K| compatible with the definable subsets such that K' is a subdivision of K and f is definably homotopic to the identity on |K|.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-30T18:04:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C64",
      "32B25"
    ],
    "keywords": [
      "o-minimal structures",
      "normal triangulations",
      "definable subsets",
      "real closed field",
      "o-minimal expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.5718B"
    }
  }
}