{
  "id": "2404.03589",
  "version": "v1",
  "published": "2024-04-04T16:58:02.000Z",
  "updated": "2024-04-04T16:58:02.000Z",
  "title": "Homotopy types of diagrams of chain complexes",
  "authors": [
    "David Blanc",
    "Surojit Ghosh",
    "Aziz Kharoof"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of graded vector spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-04T16:58:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chain complexes",
      "homotopy types",
      "finite poset",
      "appropriate diagrams",
      "graded vector spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}