{
  "aliases": [
    "finer-topology",
    "coarser-topology"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "08XFJJ8EYW"
    }
  ],
  "body": "\n## Summary\n\nTwo topologies on one set can be compared by inclusion. The finer topology has more open sets and the coarser topology has fewer open sets.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "finer-topology",
      "coarser-topology"
    ],
    "kind": "concept",
    "msc": [
      "54A10"
    ],
    "name": "Comparison of topologies",
    "same_as": {
      "wikidata": "Q906456",
      "wikipedia": "Comparison of topologies"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Comparison_of_topologies"
      }
    ],
    "tag": "072J68M6HX"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/072J68M6HX/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/072J68M6HX.md",
  "msc": [
    "54A10"
  ],
  "name": "Comparison of topologies",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/072/072J68M6HX.md",
  "status": null,
  "tag": "072J68M6HX",
  "uri": "m2://072J68M6HX",
  "url": "https://math2.tamnd.com/wiki/comparison-of-topologies/",
  "writing": {
    "tag": "072J68M6HX",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
