{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "01ZQQDCERP"
    },
    {
      "field": "uses",
      "target": "10P0C0Y5V0"
    },
    {
      "field": "uses",
      "target": "1981Q0DGQW"
    },
    {
      "field": "uses",
      "target": "1SJ46AX8Y6"
    },
    {
      "field": "uses",
      "target": "2CG46QFBHW"
    },
    {
      "field": "uses",
      "target": "2K13M9FBAN"
    },
    {
      "field": "uses",
      "target": "3ENQE05H1H"
    },
    {
      "field": "uses",
      "target": "3F4Y6NEVM4"
    },
    {
      "field": "uses",
      "target": "4AWC5Q4FHE"
    },
    {
      "field": "uses",
      "target": "4C5RG7P4VT"
    },
    {
      "field": "uses",
      "target": "4K0ZQ35ZCK"
    },
    {
      "field": "uses",
      "target": "4K6B00NYCD"
    },
    {
      "field": "uses",
      "target": "4K9RYSNPG3"
    },
    {
      "field": "uses",
      "target": "4M1SYSPGA2"
    },
    {
      "field": "uses",
      "target": "4SSJ589G6T"
    },
    {
      "field": "uses",
      "target": "4VSZ22TX4B"
    },
    {
      "field": "uses",
      "target": "4X0A0CQ0B0"
    },
    {
      "field": "uses",
      "target": "5BAYVAGVW3"
    },
    {
      "field": "uses",
      "target": "5BW600RVX5"
    },
    {
      "field": "uses",
      "target": "5FKKCM9ESE"
    },
    {
      "field": "uses",
      "target": "5HDNJWZ6K9"
    },
    {
      "field": "uses",
      "target": "5S30FAJNGM"
    },
    {
      "field": "uses",
      "target": "5VW718YJQK"
    },
    {
      "field": "uses",
      "target": "61VG0XSDM6"
    },
    {
      "field": "uses",
      "target": "62WCKX1EZT"
    },
    {
      "field": "uses",
      "target": "6G0079XRKK"
    },
    {
      "field": "uses",
      "target": "6GWZN8FXC6"
    },
    {
      "field": "uses",
      "target": "6HAZ0AKKAR"
    },
    {
      "field": "uses",
      "target": "6X2D0JDFQW"
    },
    {
      "field": "uses",
      "target": "72SN9MMH5Y"
    },
    {
      "field": "uses",
      "target": "7JVVQ2ZZY2"
    },
    {
      "field": "uses",
      "target": "7QM2KNZ358"
    },
    {
      "field": "uses",
      "target": "7TXCCCA17A"
    },
    {
      "field": "uses",
      "target": "7YEJ79ZMV5"
    },
    {
      "field": "uses",
      "target": "866JDBWRB0"
    },
    {
      "field": "uses",
      "target": "86PVRZ08VK"
    },
    {
      "field": "uses",
      "target": "8M0QH4Z60S"
    },
    {
      "field": "uses",
      "target": "8NS0116H9P"
    },
    {
      "field": "uses",
      "target": "8WX57M9ZVA"
    },
    {
      "field": "uses",
      "target": "90PB1H41A6"
    },
    {
      "field": "uses",
      "target": "97NS6JRVNE"
    },
    {
      "field": "uses",
      "target": "98TJTT6GZN"
    },
    {
      "field": "uses",
      "target": "9XJ5FBQD7M"
    },
    {
      "field": "uses",
      "target": "9ZV3T5C6B7"
    },
    {
      "field": "uses",
      "target": "A0F09CMEJM"
    },
    {
      "field": "uses",
      "target": "A486VR787Z"
    },
    {
      "field": "uses",
      "target": "A9J2KK4CEJ"
    },
    {
      "field": "uses",
      "target": "AFQGK1NE0X"
    },
    {
      "field": "uses",
      "target": "ATZEZ428CY"
    },
    {
      "field": "uses",
      "target": "B1YJM6EENP"
    },
    {
      "field": "uses",
      "target": "B51J3BC610"
    },
    {
      "field": "uses",
      "target": "BDFXWM8XK1"
    },
    {
      "field": "uses",
      "target": "BND6A96S3D"
    },
    {
      "field": "uses",
      "target": "CBZ20SS8RQ"
    },
    {
      "field": "uses",
      "target": "CDJNQ3SQTG"
    },
    {
      "field": "uses",
      "target": "CXZZJ1QV5K"
    },
    {
      "field": "uses",
      "target": "CZCANZNKPJ"
    },
    {
      "field": "uses",
      "target": "D14XVCMGX9"
    },
    {
      "field": "uses",
      "target": "D2J0A8SACE"
    },
    {
      "field": "uses",
      "target": "D4MRA2R7N8"
    },
    {
      "field": "uses",
      "target": "D8GHJN61MW"
    },
    {
      "field": "uses",
      "target": "DV3PWY8NVW"
    },
    {
      "field": "uses",
      "target": "DWV8BQP6GA"
    },
    {
      "field": "uses",
      "target": "E2EM9ZYCZS"
    },
    {
      "field": "uses",
      "target": "E820CTMJVM"
    },
    {
      "field": "uses",
      "target": "EQ23YX9CFG"
    },
    {
      "field": "uses",
      "target": "EQSFAA5D1M"
    },
    {
      "field": "uses",
      "target": "ETH7FW1KKA"
    },
    {
      "field": "uses",
      "target": "EZ24HDESPB"
    },
    {
      "field": "uses",
      "target": "F1CGWAW74E"
    },
    {
      "field": "uses",
      "target": "FRKAPMVZ7M"
    },
    {
      "field": "uses",
      "target": "FSGES670AZ"
    },
    {
      "field": "uses",
      "target": "GFADRKMQ51"
    },
    {
      "field": "uses",
      "target": "J28WVG6KPT"
    },
    {
      "field": "uses",
      "target": "J6MTQSZVEM"
    },
    {
      "field": "uses",
      "target": "JDDH4DAT2W"
    },
    {
      "field": "uses",
      "target": "JDGQ135YK2"
    },
    {
      "field": "uses",
      "target": "JNDZ86CV3Y"
    },
    {
      "field": "uses",
      "target": "JWCDDMJE3K"
    },
    {
      "field": "uses",
      "target": "M8TAKF85NT"
    },
    {
      "field": "uses",
      "target": "MNPWBBNCAD"
    },
    {
      "field": "uses",
      "target": "MPSZJ3E38R"
    },
    {
      "field": "uses",
      "target": "MW1QAB5AN4"
    },
    {
      "field": "uses",
      "target": "MW5P4P4S9A"
    },
    {
      "field": "uses",
      "target": "MX38D5Z5NY"
    },
    {
      "field": "uses",
      "target": "N5JN15Z5J6"
    },
    {
      "field": "uses",
      "target": "NPS5GGXBDP"
    },
    {
      "field": "uses",
      "target": "NTCD3724BB"
    },
    {
      "field": "uses",
      "target": "NXWRDGX8T5"
    },
    {
      "field": "uses",
      "target": "PV8DQ41Q55"
    },
    {
      "field": "uses",
      "target": "PWQ5ZR5PK5"
    },
    {
      "field": "uses",
      "target": "QE4X5PTWN2"
    },
    {
      "field": "uses",
      "target": "QXF1VVQ5M6"
    },
    {
      "field": "uses",
      "target": "REER3CG7DS"
    },
    {
      "field": "uses",
      "target": "RJK6ZKNF6R"
    },
    {
      "field": "uses",
      "target": "RKK3XHG4MR"
    },
    {
      "field": "uses",
      "target": "RR5JH5K74X"
    },
    {
      "field": "uses",
      "target": "STMT1K1865"
    },
    {
      "field": "uses",
      "target": "STW9S1Q66W"
    },
    {
      "field": "uses",
      "target": "SX5RBFJVYC"
    },
    {
      "field": "uses",
      "target": "TK9WPV0EXS"
    },
    {
      "field": "uses",
      "target": "TT7R63MV96"
    },
    {
      "field": "uses",
      "target": "V1PAXEF0EE"
    },
    {
      "field": "uses",
      "target": "V5TBWB2RPQ"
    },
    {
      "field": "uses",
      "target": "VB95VVVDM8"
    },
    {
      "field": "uses",
      "target": "VMFWAPNN65"
    },
    {
      "field": "uses",
      "target": "VNYXJXX44H"
    },
    {
      "field": "uses",
      "target": "VYQATJQNBH"
    },
    {
      "field": "uses",
      "target": "W6SXM59TS4"
    },
    {
      "field": "uses",
      "target": "W8XEZR3VKQ"
    },
    {
      "field": "uses",
      "target": "WJQ2C6SKX5"
    },
    {
      "field": "uses",
      "target": "XRBD5BT2T9"
    },
    {
      "field": "uses",
      "target": "Y71Z3MN0S3"
    },
    {
      "field": "uses",
      "target": "YMP12DXCSP"
    },
    {
      "field": "uses",
      "target": "YZ8AN4J2KD"
    },
    {
      "field": "uses",
      "target": "Z0K8AXW8Z1"
    },
    {
      "field": "uses",
      "target": "Z6QXZX1THM"
    },
    {
      "field": "uses",
      "target": "Z9DYVG5RA3"
    },
    {
      "field": "uses",
      "target": "ZCJEPPAFD2"
    },
    {
      "field": "uses",
      "target": "ZD73KPKPJ4"
    },
    {
      "field": "uses",
      "target": "ZDXQRARWT5"
    },
    {
      "field": "uses",
      "target": "ZEH0N3N467"
    },
    {
      "field": "uses",
      "target": "ZEJ9VKKKRG"
    },
    {
      "field": "uses",
      "target": "ZENZT8596D"
    },
    {
      "field": "uses",
      "target": "ZRGTKMHKX2"
    },
    {
      "field": "uses",
      "target": "ZVB7G8TGC3"
    },
    {
      "field": "about",
      "target": "6X2D0JDFQW"
    },
    {
      "field": "specializes",
      "target": "833XAA2Q65"
    }
  ],
  "body": "\n## Summary\n\nAn open set is a member of a topology.\nIn a metric space, a set is open when each of its points has a small ball around it that stays in the set.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "ZJWQG7TFXR"
    ],
    "kind": "concept",
    "msc": [
      "54A05"
    ],
    "name": "Open set",
    "same_as": {
      "wikidata": "Q213363",
      "wikipedia": "Open set"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Open_set"
      }
    ],
    "tag": "02BH3MCBQB"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/02BH3MCBQB/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/02BH3MCBQB.md",
  "msc": [
    "54A05"
  ],
  "name": "Open set",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/02B/02BH3MCBQB.md",
  "status": null,
  "tag": "02BH3MCBQB",
  "uri": "m2://02BH3MCBQB",
  "url": "https://tamnd.github.io/math2/wiki/open-set/",
  "writing": {
    "tag": "02BH3MCBQB",
    "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
      }
    ]
  }
}