{
  "aliases": [
    "frontier",
    "boundary-of-a-set"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0JJ9J1XZ8G"
    }
  ],
  "body": "\n## Summary\n\nThe boundary of a subset of a topological space is the set of points in its closure that are not in its interior.\nEach neighbourhood of a boundary point meets both the subset and its complement.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "frontier",
      "boundary-of-a-set"
    ],
    "kind": "concept",
    "msc": [
      "54A05"
    ],
    "name": "Boundary",
    "same_as": {
      "wikidata": "Q875399",
      "wikipedia": "Boundary (topology)"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Boundary_(topology)"
      }
    ],
    "tag": "05D5EGMFYV"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/05D5EGMFYV/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/05D5EGMFYV.md",
  "msc": [
    "54A05"
  ],
  "name": "Boundary",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/05D/05D5EGMFYV.md",
  "status": null,
  "tag": "05D5EGMFYV",
  "uri": "m2://05D5EGMFYV",
  "url": "https://math2.tamnd.com/wiki/boundary/",
  "writing": {
    "tag": "05D5EGMFYV",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "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
      }
    ]
  }
}
