{
  "aliases": null,
  "backlinks": null,
  "body": "\n## Summary\n\n- Lattices, partial orders in which each pair of elements has a greatest lower bound and a least upper bound. Many different types of lattice have been studied; see map of lattices for a list.\n",
  "commit": "1696dfa6ac9eeb239262bb8121a4817855ba7e8d",
  "front": {
    "inventory": [
      "YZVXFV3BNV"
    ],
    "kind": "concept",
    "name": "Lattices",
    "sources": [
      {
        "locator": "List of order structures in mathematics",
        "mention": "wikipedia://en/203204#EAM0",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:203204@r1127635955"
      }
    ],
    "tag": "YDQ1N2YAR1"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/YDQ1N2YAR1/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/YDQ1N2YAR1.md",
  "msc": null,
  "name": "Lattices",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/YDQ/YDQ1N2YAR1.md",
  "status": null,
  "tag": "YDQ1N2YAR1",
  "uri": "m2://YDQ1N2YAR1",
  "url": "https://math2.tamnd.com/wiki/lattices/",
  "writing": {
    "tag": "YDQ1N2YAR1",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}