{
  "id": "1608.06006",
  "version": "v1",
  "published": "2016-08-21T22:03:32.000Z",
  "updated": "2016-08-21T22:03:32.000Z",
  "title": "A preservation theorem for theories without the tree property of the first kind",
  "authors": [
    "Jan Dobrowolski",
    "Hyeungjoon Kim"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that the NTP$_1$ property of a geometric theory $T$ is inherited by theories of lovely pairs and $H$-structures associated to $T$. We also provide a class of examples of nonsimple geometric NTP$_1$ theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-21T22:03:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tree property",
      "first kind",
      "preservation theorem",
      "nonsimple geometric ntp",
      "geometric theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}