{
  "id": "2007.13702",
  "version": "v1",
  "published": "2020-07-27T17:29:26.000Z",
  "updated": "2020-07-27T17:29:26.000Z",
  "title": "Obstructions in a model category and Klein and Williams' intersection invariants",
  "authors": [
    "Kate Ponto"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We give an obstruction for lifts and extensions in a model category inspired by Klein and Williams' work on intersection theory. In contrast to the familiar obstructions from algebraic topology, this approach produces a single invariant that is complete in the presences of the appropriate generalizations of dimension and connectivity assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-27T17:29:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S35",
      "18N40",
      "55U35",
      "55Q05"
    ],
    "keywords": [
      "model category",
      "intersection invariants",
      "appropriate generalizations",
      "algebraic topology",
      "intersection theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}