{
  "aliases": [
    "closed-mapping"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0NYZ2M45G9"
    },
    {
      "field": "specializes",
      "target": "0QT00PB5G2"
    },
    {
      "field": "specializes",
      "target": "N6TE6WJ4EZ"
    },
    {
      "field": "uses",
      "target": "30R6VND1T7"
    },
    {
      "field": "uses",
      "target": "C9NE52R27S"
    },
    {
      "field": "uses",
      "target": "TPH39D9W02"
    }
  ],
  "body": "\n## Summary\n\nA closed map is a function between topological spaces that sends closed sets to closed sets.\nContinuous maps from compact spaces to Hausdorff spaces are closed maps.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "aliases": [
      "closed-mapping"
    ],
    "kind": "concept",
    "msc": [
      "54C10"
    ],
    "name": "Closed map",
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Open_and_closed_maps"
      }
    ],
    "tag": "00FSJTXPJM"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/00FSJTXPJM/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/00FSJTXPJM.md",
  "msc": [
    "54C10"
  ],
  "name": "Closed map",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/00F/00FSJTXPJM.md",
  "status": null,
  "tag": "00FSJTXPJM",
  "uri": "m2://00FSJTXPJM",
  "url": "https://tamnd.github.io/math2/wiki/closed-map/",
  "writing": {
    "tag": "00FSJTXPJM",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
