{
  "id": "van-kampen-diagrams",
  "title": "Van Kampen diagrams",
  "description": "Van Kampen diagrams without topology: plane maps and their operations, free groups, presentations and Cayley graphs, and van Kampen's lemma in three parts; the foundation for the diagram arguments of the courses on irrational traces, the Kadison-Kaplansky conjecture and reduced Baum-Connes injectivity.",
  "units": [
    {
      "id": "plane-maps",
      "title": "Plane maps",
      "reader": "plane-maps.html",
      "source": "src/plane-maps.md",
      "source_sha256": "baf2de5238b7ab5bf7fee9dde81ee8c3c63e822e0ded9e2811a02eb7cdb20270",
      "status": "author_self_checked"
    },
    {
      "id": "words-free-groups-and-cayley-graphs",
      "title": "Words, free groups and Cayley graphs",
      "reader": "words-free-groups-and-cayley-graphs.html",
      "source": "src/words-free-groups-and-cayley-graphs.md",
      "source_sha256": "71be0330efe8312b8a15db987595493bbf4116d08db69a67ccfebf9dcaeb2923",
      "status": "author_self_checked"
    },
    {
      "id": "van-kampens-lemma",
      "title": "Van Kampen's lemma",
      "reader": "van-kampens-lemma.html",
      "source": "src/van-kampens-lemma.md",
      "source_sha256": "b26f43bbd2effcec1205b40ab05089741ea4f9434beeed9b1050e3eee8cdbe52",
      "status": "author_self_checked"
    }
  ],
  "prerequisites": [
    "programme course Barnette's conjecture (barnettes-conjecture): lesson Sphere maps (Definition 1.1, Lemma 1.2, Example 1.3, Lemma 1.4, Lemma 1.5, Proposition 1.6, Lemma 2.1, Lemma 3.1, Theorem 3.2, Lemma 3.4, Proposition 3.5, Section 4 and Proposition 4.1)"
  ],
  "status": "author_self_checked",
  "proof_providers": "providers.json",
  "provenance": "provenance.json",
  "licence": "CC0-1.0"
}