{
  "aliases": [
    "t2-space",
    "separated-space"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0MXB4CKHFW"
    }
  ],
  "body": "\n## Summary\n\nA Hausdorff space is a topological space in which any two distinct points have disjoint open neighbourhoods.\nIt is the most used separation axiom, and it makes limits of sequences unique.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "t2-space",
      "separated-space"
    ],
    "kind": "concept",
    "msc": [
      "54D10"
    ],
    "name": "Hausdorff space",
    "same_as": {
      "wikidata": "Q326908",
      "wikipedia": "Hausdorff space"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Hausdorff_space"
      }
    ],
    "tag": "0S1FJ8VEX9"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0S1FJ8VEX9/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0S1FJ8VEX9.md",
  "msc": [
    "54D10"
  ],
  "name": "Hausdorff space",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0S1/0S1FJ8VEX9.md",
  "status": null,
  "tag": "0S1FJ8VEX9",
  "uri": "m2://0S1FJ8VEX9",
  "url": "https://math2.tamnd.com/wiki/hausdorff-space/",
  "writing": {
    "tag": "0S1FJ8VEX9",
    "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
      }
    ]
  }
}
