{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "05DSV40EB9"
    },
    {
      "field": "uses",
      "target": "227ERQ43PY"
    },
    {
      "field": "uses",
      "target": "33JWVAX32K"
    },
    {
      "field": "uses",
      "target": "3VX06XRVZG"
    },
    {
      "field": "uses",
      "target": "A9C785ESPD"
    },
    {
      "field": "uses",
      "target": "BW8X6DXTHG"
    },
    {
      "field": "uses",
      "target": "C5VXQVNNH2"
    },
    {
      "field": "uses",
      "target": "F01D990B61"
    },
    {
      "field": "uses",
      "target": "F02XA3MYX8"
    },
    {
      "field": "uses",
      "target": "HWC3SQGCQ0"
    },
    {
      "field": "uses",
      "target": "JJ0PQZ7VZX"
    },
    {
      "field": "uses",
      "target": "N7AAJ2MW5T"
    },
    {
      "field": "uses",
      "target": "PADZ7D9KBT"
    },
    {
      "field": "uses",
      "target": "T4PGC6NH56"
    },
    {
      "field": "uses",
      "target": "Z6JR1GN2RE"
    },
    {
      "field": "about",
      "target": "Z6JR1GN2RE"
    }
  ],
  "body": "\n## Summary\n\nA closed ball in a metric space is the set of all points at distance at most a given radius from a given centre.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "NSPBTFS7SK"
    ],
    "kind": "concept",
    "msc": [
      "54E35"
    ],
    "name": "Closed ball",
    "sources": [
      {
        "locator": "In general metric spaces",
        "url": "https://en.wikipedia.org/wiki/Ball_(mathematics)"
      }
    ],
    "tag": "0Q0H13G8ZB"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0Q0H13G8ZB/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/0Q0H13G8ZB.md",
  "msc": [
    "54E35"
  ],
  "name": "Closed ball",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0Q0/0Q0H13G8ZB.md",
  "status": null,
  "tag": "0Q0H13G8ZB",
  "uri": "m2://0Q0H13G8ZB",
  "url": "https://tamnd.github.io/math2/wiki/closed-ball/",
  "writing": {
    "tag": "0Q0H13G8ZB",
    "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
      }
    ]
  }
}