{
  "aliases": [
    "topological-isomorphism",
    "homeomorphic-spaces"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "05GZ11PWRY"
    },
    {
      "field": "specializes",
      "target": "0KZZ70ZHXP"
    },
    {
      "field": "specializes",
      "target": "SB8KG46NHP"
    },
    {
      "field": "specializes",
      "target": "TAFJV2YWKR"
    },
    {
      "field": "uses",
      "target": "1KPAEFMPZB"
    },
    {
      "field": "uses",
      "target": "2Q008XWQDE"
    },
    {
      "field": "uses",
      "target": "2VD7GR64JJ"
    },
    {
      "field": "uses",
      "target": "3NKBCNH5JS"
    },
    {
      "field": "uses",
      "target": "3R064KFF68"
    },
    {
      "field": "uses",
      "target": "3VX06XRVZG"
    },
    {
      "field": "uses",
      "target": "410BCE4PAM"
    },
    {
      "field": "uses",
      "target": "4RK8T21D27"
    },
    {
      "field": "uses",
      "target": "58MWCEYTZD"
    },
    {
      "field": "uses",
      "target": "5N5SDY3K53"
    },
    {
      "field": "uses",
      "target": "6HVZ30TS5F"
    },
    {
      "field": "uses",
      "target": "6PHR16TB0V"
    },
    {
      "field": "uses",
      "target": "6SZDXD3KYH"
    },
    {
      "field": "uses",
      "target": "6X2D0JDFQW"
    },
    {
      "field": "uses",
      "target": "72SN9MMH5Y"
    },
    {
      "field": "uses",
      "target": "7G1PCS2RPG"
    },
    {
      "field": "uses",
      "target": "7GRSF20H15"
    },
    {
      "field": "uses",
      "target": "7JVVQ2ZZY2"
    },
    {
      "field": "uses",
      "target": "811NW2WEJH"
    },
    {
      "field": "uses",
      "target": "8KDV43WZ3Z"
    },
    {
      "field": "uses",
      "target": "A71EWRZBZV"
    },
    {
      "field": "uses",
      "target": "A9J2KK4CEJ"
    },
    {
      "field": "uses",
      "target": "B6H4EY6R4Q"
    },
    {
      "field": "uses",
      "target": "BDFXWM8XK1"
    },
    {
      "field": "uses",
      "target": "CQKTEBK13V"
    },
    {
      "field": "uses",
      "target": "CTCSAWBSB8"
    },
    {
      "field": "uses",
      "target": "EBASBW5TYS"
    },
    {
      "field": "uses",
      "target": "EQDDVAKSVE"
    },
    {
      "field": "uses",
      "target": "FEAFDTMMW7"
    },
    {
      "field": "uses",
      "target": "G7D6SPTA2C"
    },
    {
      "field": "uses",
      "target": "HAT8HG0RCK"
    },
    {
      "field": "uses",
      "target": "HEKY61PKA9"
    },
    {
      "field": "uses",
      "target": "HSD6FKCYRC"
    },
    {
      "field": "uses",
      "target": "JNW9GKADDN"
    },
    {
      "field": "uses",
      "target": "JRAEY07Y4G"
    },
    {
      "field": "uses",
      "target": "JV4H0R6GZM"
    },
    {
      "field": "uses",
      "target": "K7MR77CHP6"
    },
    {
      "field": "uses",
      "target": "K8YRDXE4WC"
    },
    {
      "field": "uses",
      "target": "KQX43WB57R"
    },
    {
      "field": "uses",
      "target": "M8TAKF85NT"
    },
    {
      "field": "uses",
      "target": "MHGZEW6RBM"
    },
    {
      "field": "uses",
      "target": "P4NVFFR2CH"
    },
    {
      "field": "uses",
      "target": "PKP7RVAZK6"
    },
    {
      "field": "uses",
      "target": "PT1P6Z6GEY"
    },
    {
      "field": "uses",
      "target": "PWQ5ZR5PK5"
    },
    {
      "field": "uses",
      "target": "Q468P6FP4A"
    },
    {
      "field": "uses",
      "target": "Q8FERXTZ8B"
    },
    {
      "field": "uses",
      "target": "QKJ743GE3J"
    },
    {
      "field": "uses",
      "target": "QQTPD2TZ0Z"
    },
    {
      "field": "uses",
      "target": "QYDQ28X8MA"
    },
    {
      "field": "uses",
      "target": "S2CV71FCY2"
    },
    {
      "field": "uses",
      "target": "TWSZNFKBKA"
    },
    {
      "field": "uses",
      "target": "TXS0J856RD"
    },
    {
      "field": "uses",
      "target": "VB95VVVDM8"
    },
    {
      "field": "uses",
      "target": "VG4ZVTGJ9W"
    },
    {
      "field": "uses",
      "target": "VK39X07EYK"
    },
    {
      "field": "uses",
      "target": "W1VVPNBPMX"
    },
    {
      "field": "uses",
      "target": "WBZHXGKNSJ"
    },
    {
      "field": "uses",
      "target": "WZNF6Q5JBS"
    },
    {
      "field": "uses",
      "target": "X057MN9YY9"
    },
    {
      "field": "uses",
      "target": "XP21V9TVKK"
    },
    {
      "field": "uses",
      "target": "Y28DDJ9F79"
    },
    {
      "field": "uses",
      "target": "YZ8AN4J2KD"
    },
    {
      "field": "uses",
      "target": "Z5DHRKE2Q0"
    },
    {
      "field": "uses",
      "target": "Z5M5ESDBGK"
    },
    {
      "field": "uses",
      "target": "Z9DYVG5RA3"
    },
    {
      "field": "uses",
      "target": "ZNMN1YA83C"
    },
    {
      "field": "uses",
      "target": "ZTTZVZWMK9"
    },
    {
      "field": "uses",
      "target": "ZVB7G8TGC3"
    },
    {
      "field": "about",
      "target": "6X2D0JDFQW"
    },
    {
      "field": "about",
      "target": "Z5DHRKE2Q0"
    }
  ],
  "body": "\n## Summary\n\nA homeomorphism is a continuous bijection between topological spaces whose inverse is also continuous.\nHomeomorphic spaces are the same from the point of view of topology.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "aliases": [
      "topological-isomorphism",
      "homeomorphic-spaces"
    ],
    "kind": "concept",
    "msc": [
      "54C05"
    ],
    "name": "Homeomorphism",
    "same_as": {
      "wikidata": "Q202906",
      "wikipedia": "Homeomorphism"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Homeomorphism"
      }
    ],
    "specializes": [
      "0VGFHTM75Y",
      "0YCG648KDD",
      "00FSJTXPJM"
    ],
    "tag": "0QT00PB5G2"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0QT00PB5G2/",
  "links": [
    {
      "field": "specializes",
      "target": "0VGFHTM75Y"
    },
    {
      "field": "specializes",
      "target": "0YCG648KDD"
    },
    {
      "field": "specializes",
      "target": "00FSJTXPJM"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0QT00PB5G2.md",
  "msc": [
    "54C05"
  ],
  "name": "Homeomorphism",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0QT/0QT00PB5G2.md",
  "status": null,
  "tag": "0QT00PB5G2",
  "uri": "m2://0QT00PB5G2",
  "url": "https://tamnd.github.io/math2/wiki/homeomorphism/",
  "writing": {
    "tag": "0QT00PB5G2",
    "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
      }
    ]
  }
}