{
  "aliases": [
    "kolmogorov-space"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0R3B7DX55J"
    }
  ],
  "body": "\n## Summary\n\nA T0 space, or Kolmogorov space, is a topological space in which the open sets can tell any two distinct points apart.\nIt is the weakest of the usual separation axioms.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "kolmogorov-space"
    ],
    "kind": "concept",
    "msc": [
      "54D10"
    ],
    "name": "T0 space",
    "same_as": {
      "wikidata": "Q1148924",
      "wikipedia": "Kolmogorov space"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Kolmogorov_space"
      }
    ],
    "tag": "07SG12TQH3"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/07SG12TQH3/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/07SG12TQH3.md",
  "msc": [
    "54D10"
  ],
  "name": "T0 space",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/07S/07SG12TQH3.md",
  "status": null,
  "tag": "07SG12TQH3",
  "uri": "m2://07SG12TQH3",
  "url": "https://math2.tamnd.com/wiki/t0-space/",
  "writing": {
    "tag": "07SG12TQH3",
    "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
      }
    ]
  }
}