{
  "id": "1612.02773",
  "version": "v1",
  "published": "2016-12-08T18:57:31.000Z",
  "updated": "2016-12-08T18:57:31.000Z",
  "title": "Cohomology of Polychromatic Configuration Spaces of Euclidean Space",
  "authors": [
    "Nicholas Kosar"
  ],
  "comment": "32 pages, 3 figures",
  "categories": [
    "math.AT"
  ],
  "abstract": "Recently, the homology and cohomology of non-k-overlapping discs, or, equivalently, no k-equal subspaces of Euclidean space, were calculated by Dobrinskaya and Turchin. We calculate the homology and cohomology of two classes of more general spaces: decreasing polychromatic configuration spaces and bicolored configuration spaces. Instead of all points behaving similarly, we allow for varying behavior between points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-08T18:57:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euclidean space",
      "cohomology",
      "decreasing polychromatic configuration spaces",
      "general spaces",
      "k-equal subspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}