{
  "aliases": [
    "base-point"
  ],
  "backlinks": null,
  "body": "\n## Summary\n\nIn mathematics, a **pointed set** (also **based set** or **rooted set**) is an [[ordered pair|0JQWWFCS9R]] $(X, x_0)$ where $X$ is a [[set|0BSJ7RQ9BW]] and $x_0$ is an element of $X$ called the **base point**  (also spelled **basepoint**).\n",
  "commit": "4a3290d299c8b2cd6493fce2296920ba7f82d942",
  "front": {
    "aliases": [
      "base-point"
    ],
    "inventory": [
      "QZX5HQXJCK"
    ],
    "kind": "concept",
    "name": "Pointed set",
    "same_as": {
      "wikidata": "Q3054915",
      "wikipedia": "Pointed set"
    },
    "sources": [
      {
        "locator": "Pointed set",
        "mention": "wikipedia://en/1242444",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:1242444@r1351213217"
      }
    ],
    "tag": "2P0WSZCVRM"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/2P0WSZCVRM/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/2P0WSZCVRM.md",
  "msc": null,
  "name": "Pointed set",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/2P0/2P0WSZCVRM.md",
  "status": null,
  "tag": "2P0WSZCVRM",
  "uri": "m2://2P0WSZCVRM",
  "url": "https://math2.tamnd.com/wiki/pointed-set/",
  "writing": {
    "tag": "2P0WSZCVRM",
    "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
      }
    ]
  }
}
